1º BACHILLERATO/FÍSICA/CINEMÁTICA Desplazamiento y espacio recorrido Desde un punto de vista físico ¿En qué casos el espacio recorrido es igual al desplazmiento? (marca las opciones correctas)

]]> 1.0000000 0.1000000 0 true true abc Siempre Si el movimiento es circular Si el movimiento es rectilíneo Nunca Cuando el movimiento sea rectilíneo y en un solo sentido Si un cuerpo se mueve hacia la derecha Si consideramos positivo hacia la derecha y un cuerpo se mueve con velocidad positiva. La aceleración:

]]> 1.0000000 0.1000000 0 true true abc Es positiva Es negativa Puede ser positiva o negativa No tiene aceleración Un cuerpo que cae libremente de forma vertical Un cuerpo que cae libremente de forma vertical

]]> 1.0000000 0.1000000 0 true true abc No tiene aceleración Tiene aceleración normal pero no tangencial Tiene aceleración tangencial pero no normal Tiene aceleración normal y tangencial Un cuerpo que gia con rapidez constante Un cuerpo que gia con rapidez constante

]]> 1.0000000 0.1000000 0 true true abc No tiene aceleración No tiene aceleración tangencial, pero si normal No tiene aceleración normal pero si tangencial Tiene aceleración tangencial y normal un giro acelerado Un punto situado a una cierta distancia fija del eje gira con una rapidez que crece uniformemente. Indica las afirmaciones correctas:

]]> 1.0000000 0.1000000 0 false true abc No tiene aceleración tangencial No tiene aceleración normal su aceleración tangencial es constante Su aceleración normal es constante Su aceleración normal es creciente Su aceleración normal es decreciente su aceleración normal es proporcional a la velocidad su aceleración normal es proporcional al cuadrado de la velocidad Velocidad y aceleración cero Una partícula con velocidad cero ¿Puede tener aceleración ditinta de cero?. Y si su aceleración es cero ¿Puede cambiar el módulo de la velocidad?

]]> 1.0000000 0.1000000 0 true true abc No. Si Si. Si Si. No No. No Velocidad, aceleración tangencial y normal Indica la certeza o falsedad de las siguientes operaciones:

]]> 1.0000000 0.1000000 0 true La velocidad es siempre tangente a la trayectoria

]]> cierta La velocidad es siempre perpendicular a la trayectoria

]]> falsa La velocidad no tiene por qué ser ni tangente ni perpendicular a la trayectoria normalmente

]]> falsa La aceleración es tangente a la trayectoria

]]> falsa la aceleración es perpendicular a la trayectoria

]]> falsa La aceleración no tiene por qué ser ni tangente ni perpendicular a la trayectoria

]]> cierta la suma de los módulos de la aceleración normal y tangencial es igual a la aceleración

]]> falsa la suma de la aceleración tangencial y normal es igual a la aceleración

]]> cierta En un movimiento curvo la aceleración va siempre hacia el interior de la curva

]]> cierta En un movimiento curvo la aceleración va siempre hacia el exterior de la curva

]]> falsa 1º BACHILLERATO/FÍSICA/CINEMÁTICA/CINEMÁTICA VECTORIAL Integrar Un cuerpo tiene una aceleración a= #b j.

Calcula el módulo de su velocidad para un t = #t si para t=0 la velocidad es v = #c k
Calcula su distancia al origen para t = #t, si para t=0 está en el punto r= #d j +3 k

]]> 1.0000000 0.3333333 0 0 velocidad = #v1distancia al origen = #r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vx</mi><mo>=</mo><mi>a</mi><mo>*</mo><msup><mi>t</mi><mn>2</mn></msup><mo>/</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vy</mi><mo>=</mo><mi>b</mi><mo>*</mo><mi>t</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vz</mi><mo>=</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v1</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><msqrt><mrow><msup><mi>vx</mi><mn>2</mn></msup><mo>+</mo><msup><mi>vy</mi><mn>2</mn></msup><mo>+</mo><msup><mi>vz</mi><mn>2</mn></msup></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rx</mi><mo>=</mo><mi>a</mi><mo>*</mo><msup><mi>t</mi><mn>3</mn></msup><mo>/</mo><mn>6</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ry</mi><mo>=</mo><mo>(</mo><mi>b</mi><mo>*</mo><msup><mi>t</mi><mn>2</mn></msup><mo>/</mo><mn>2</mn><mo>)</mo><mo>+</mo><mi>d</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rz</mi><mo>=</mo><mo>(</mo><mi>c</mi><mo>*</mo><mi>t</mi><mo>)</mo><mo>+</mo><mn>3</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><msqrt><mrow><msup><mi>rx</mi><mn>2</mn></msup><mo>+</mo><msup><mi>ry</mi><mn>2</mn></msup><mo>+</mo><msup><mi>rz</mi><mn>2</mn></msup></mrow></msqrt></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mi>o</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>d</mi><mi>a</mi><mi>d</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>v</mi><mn>1</mn><mspace linebreak="newline"/><mi>d</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">s</mi><mi>t</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>a</mi><mo> </mo><mi>a</mi><mi mathvariant="normal">l</mi><mo> </mo><mi>o</mi><mi>r</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">g</mi><mi mathvariant="normal">e</mi><mi>n</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>r</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integrar Un cuerpo tiene una aceleración a= #a t i + #b j.

Calcula el módulo de su velocidad para un t = #t si para t=0 la velocidad es v = #c k
Calcula su distancia al origen para t = #t, si para t=0 está en el punto r= #d j +2 k

]]> 1.0000000 0.3333333 0 0 velocidad = #v1distancia al origen = #r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vx</mi><mo>=</mo><mi>a</mi><mo>*</mo><msup><mi>t</mi><mn>2</mn></msup><mo>/</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vy</mi><mo>=</mo><mi>b</mi><mo>*</mo><mi>t</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vz</mi><mo>=</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v1</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><msqrt><mrow><msup><mi>vx</mi><mn>2</mn></msup><mo>+</mo><msup><mi>vy</mi><mn>2</mn></msup><mo>+</mo><msup><mi>vz</mi><mn>2</mn></msup></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rx</mi><mo>=</mo><mi>a</mi><mo>*</mo><msup><mi>t</mi><mn>3</mn></msup><mo>/</mo><mn>6</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ry</mi><mo>=</mo><mo>(</mo><mi>b</mi><mo>*</mo><msup><mi>t</mi><mn>2</mn></msup><mo>/</mo><mn>2</mn><mo>)</mo><mo>+</mo><mi>d</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rz</mi><mo>=</mo><mo>(</mo><mi>c</mi><mo>*</mo><mi>t</mi><mo>)</mo><mo>+</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><msqrt><mrow><msup><mi>rx</mi><mn>2</mn></msup><mo>+</mo><msup><mi>ry</mi><mn>2</mn></msup><mo>+</mo><msup><mi>rz</mi><mn>2</mn></msup></mrow></msqrt></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mi>o</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>d</mi><mi>a</mi><mi>d</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>v</mi><mn>1</mn><mspace linebreak="newline"/><mi>d</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">s</mi><mi>t</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>a</mi><mo> </mo><mi>a</mi><mi mathvariant="normal">l</mi><mo> </mo><mi>o</mi><mi>r</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">g</mi><mi mathvariant="normal">e</mi><mi>n</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>r</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Posición de velocidad cero La posición de una partícula material que se desplaza sobre el eje OX, viene dada en función del tiempo por la ecuación:

r= #a t² + #b t + #c (SI)

Calcula el espacio que recorre en el primer segundo.
Calcula el espacio que recorre en el segundo segundo.

]]> 1.0000000 0.3333333 0 0 Espacio del primer segundo = #r01Espacio del segundo segundo = #r12]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>7</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>9</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r0</mi><mo>=</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>+</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>(</mo><mi>a</mi><mo>*</mo><mn>4</mn><mo>)</mo><mo>+</mo><mo>(</mo><mi>b</mi><mo>*</mo><mn>2</mn><mo>)</mo><mo>+</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r01</mi><mo>=</mo><mi>r1</mi><mo>-</mo><mi>r0</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r12</mi><mo>=</mo><mi>r2</mi><mo>-</mo><mi>r1</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">E</mi><mi mathvariant="normal">s</mi><mi>p</mi><mi>a</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo> </mo><mi>d</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mo> </mo><mi>p</mi><mi>r</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">m</mi><mi mathvariant="normal">e</mi><mi>r</mi><mo> </mo><mi mathvariant="normal">s</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">g</mi><mi>u</mi><mi>n</mi><mi>d</mi><mi>o</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>r</mi><mn>01</mn><mspace linebreak="newline"/><mi mathvariant="normal">E</mi><mi mathvariant="normal">s</mi><mi>p</mi><mi>a</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo> </mo><mi>d</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mo> </mo><mi mathvariant="normal">s</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">g</mi><mi>u</mi><mi>n</mi><mi>d</mi><mi>o</mi><mo> </mo><mi mathvariant="normal">s</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">g</mi><mi>u</mi><mi>n</mi><mi>d</mi><mi>o</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>r</mi><mn>12</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Posición de velocidad cero La posición de una partícula material que se desplaza sobre el eje OX, viene dada en función del tiempo por la ecuación:

r= #a t² - #b t + #c (SI)

Calcula el valor de t, en segundos, para el que se para.
Calcula en qué posición, en metros, se detiene.

]]> 1.0000000 0.3333333 0 0 tiempo = #t1Posición = #r1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>7</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>9</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><mi>b</mi><mo>/</mo><mo>(</mo><mn>2</mn><mo>*</mo><mi>a</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>(</mo><mi>a</mi><mo>*</mo><msup><mi>t1</mi><mn>2</mn></msup><mo>)</mo><mo>-</mo><mo>(</mo><mi>b</mi><mo>*</mo><mi>t1</mi><mo>)</mo><mo>+</mo><mi>c</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>o</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>t</mi><mn>1</mn><mspace linebreak="newline"/><mi>P</mi><mi>o</mi><mi mathvariant="normal">s</mi><mi mathvariant="normal">i</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>ó</mi><mi>n</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>r</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Posición de velocidad cero La posición de una partícula material que se desplaza sobre el eje OX, viene dada en función del tiempo por la ecuación:

r= #a t² - #b t + #c (SI)

Calcula el valor de t, en segundos, para el que se para.
Calcula en qué posición, en metros, se detiene.

r= #a t² - #b t + #c (SI)

Calcula su posición en el momento inicial.
Calcula su velocidad inicial.

]]> 1.0000000 0.3333333 0 0 Posición = #r1Velocidad = #v1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>7</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>9</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v1</mi><mo>=</mo><mo>-</mo><mi>b</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>P</mi><mi>o</mi><mi mathvariant="normal">s</mi><mi mathvariant="normal">i</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>ó</mi><mi>n</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>r</mi><mn>1</mn><mspace linebreak="newline"/><mi mathvariant="normal">V</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mi>o</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>d</mi><mi>a</mi><mi>d</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>v</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> vector de posición y movimiento El vector de posición de un objeto es:

r = ( 2t^#a+3) i + (3t^#b-5) j - 2 k

Indica las afirmaciones correctas:

]]> 1.0000000 0.3333333 0 false true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> La aceleración es #av

]]> La aceleración es #af

]]> La velocidad es #vv

]]> La velocidad es #vf

]]> La posición es #pv

]]> La posición es #pf

]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800">librería</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>av</mi><mo>=</mo><mo>"</mo><mi>variable</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>af</mi><mo>=</mo><mo>"</mo><mi>variable</mi><mo>"</mo></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>vv</mi><mo>=</mo><mo>"</mo><mi>variable</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>vf</mi><mo>=</mo><mo>"</mo><mi>variable</mi><mo>"</mo></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>pv</mi><mo>=</mo><mo>"</mo><mi>variable</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>pf</mi><mo>=</mo><mo>"</mo><mi>variable</mi><mo>"</mo></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mo>(</mo><mi>a</mi><mo>=</mo><mn>3</mn><mo> </mo><mo>∨</mo><mo> </mo><mi>b</mi><mo>=</mo><mn>3</mn><mo>)</mo></mrow><mtable><mtr><mtd><mi>af</mi><mo>=</mo><mo>"</mo><mi>constante</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>vf</mi><mo>=</mo><mo>"</mo><mi>constante</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>pf</mi><mo>=</mo><mo>"</mo><mi>constante</mi><mo>"</mo></mtd></mtr></mtable><mtable><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mo>(</mo><mi>a</mi><mo>=</mo><mn>2</mn><mo> </mo><mo>∨</mo><mo> </mo><mi>b</mi><mo>=</mo><mn>2</mn><mo>)</mo></mrow><mtable><mtr><mtd><mi>av</mi><mo>=</mo><mo>"</mo><mi>constante</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>vf</mi><mo>=</mo><mo>"</mo><mi>constante</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>pf</mi><mo>=</mo><mo>"</mo><mi>constante</mi><mo>"</mo></mtd></mtr></mtable><mtable><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>a</mi><mo>=</mo><mn>1</mn><mo> </mo><mo>∨</mo><mo> </mo><mi>b</mi><mo>=</mo><mn>1</mn></mrow><mtable><mtr><mtd><mi>av</mi><mo>=</mo><mo>"</mo><mi>constante</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>vv</mi><mo>=</mo><mo>"</mo><mi>constante</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>pf</mi><mo>=</mo><mo>"</mo><mi>constante</mi><mo>"</mo></mtd></mtr></mtable><mtable><mtr><mtd><mi>av</mi><mo>=</mo><mo>"</mo><mi>constante</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>vv</mi><mo>=</mo><mo>"</mo><mi>constante</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>pv</mi><mo>=</mo><mo>"</mo><mi>constante</mi><mo>"</mo></mtd></mtr></mtable></apply></mtd></mtr><mtr><mtd/></mtr></mtable></apply></mtd></mtr><mtr><mtd/></mtr><mtr><mtd/></mtr></mtable></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library></session>]]></wirisCasSession><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> vector de posición y movimiento El vector de posición de un objeto es:

r = ( 2t^#a+3) i + (3t^#b-5) j

Indica las afirmaciones correctas:

]]> 1.0000000 0.3333333 0 false true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> La aceleración es #av

]]> La aceleración es #af

]]> La velocidad es #vv

]]> La velocidad es #vf

]]> La posición es #pv

]]> La posición es #pf

]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800">librería</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>av</mi><mo>=</mo><mo>"</mo><mi>variable</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>af</mi><mo>=</mo><mo>"</mo><mi>variable</mi><mo>"</mo></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>vv</mi><mo>=</mo><mo>"</mo><mi>variable</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>vf</mi><mo>=</mo><mo>"</mo><mi>variable</mi><mo>"</mo></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>pv</mi><mo>=</mo><mo>"</mo><mi>variable</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>pf</mi><mo>=</mo><mo>"</mo><mi>variable</mi><mo>"</mo></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mo>(</mo><mi>a</mi><mo>=</mo><mn>3</mn><mo> </mo><mo>∨</mo><mo> </mo><mi>b</mi><mo>=</mo><mn>3</mn><mo>)</mo></mrow><mtable><mtr><mtd><mi>af</mi><mo>=</mo><mo>"</mo><mi>constante</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>vf</mi><mo>=</mo><mo>"</mo><mi>constante</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>pf</mi><mo>=</mo><mo>"</mo><mi>constante</mi><mo>"</mo></mtd></mtr></mtable><mtable><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mo>(</mo><mi>a</mi><mo>=</mo><mn>2</mn><mo> </mo><mo>∨</mo><mo> </mo><mi>b</mi><mo>=</mo><mn>2</mn><mo>)</mo></mrow><mtable><mtr><mtd><mi>av</mi><mo>=</mo><mo>"</mo><mi>constante</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>vf</mi><mo>=</mo><mo>"</mo><mi>constante</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>pf</mi><mo>=</mo><mo>"</mo><mi>constante</mi><mo>"</mo></mtd></mtr></mtable><mtable><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mi>a</mi><mo>=</mo><mn>1</mn><mo> </mo><mo>∨</mo><mo> </mo><mi>b</mi><mo>=</mo><mn>1</mn></mrow><mtable><mtr><mtd><mi>av</mi><mo>=</mo><mo>"</mo><mi>constante</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>vv</mi><mo>=</mo><mo>"</mo><mi>constante</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>pf</mi><mo>=</mo><mo>"</mo><mi>constante</mi><mo>"</mo></mtd></mtr></mtable><mtable><mtr><mtd><mi>av</mi><mo>=</mo><mo>"</mo><mi>constante</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>vv</mi><mo>=</mo><mo>"</mo><mi>constante</mi><mo>"</mo></mtd></mtr><mtr><mtd><mi>pv</mi><mo>=</mo><mo>"</mo><mi>constante</mi><mo>"</mo></mtd></mtr></mtable></apply></mtd></mtr><mtr><mtd/></mtr></mtable></apply></mtd></mtr><mtr><mtd/></mtr><mtr><mtd/></mtr></mtable></apply></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library></session>]]></wirisCasSession><options><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> velocidad y aceleración a partir del vector de posición El vector de posición de un móvil es:

r= #a t²i +#b t³j+(#c t²+#d t)k (SI)

Calcula:

Su velocidad para t= #t1 segundos
Su aceleración para t= #t2 segundos

]]> 1.0000000 0.3333333 0 0 velocidad =#vaceleración =#ac]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>2</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>7</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vx</mi><mo>=</mo><mn>2</mn><mo>*</mo><mi>a</mi><mo>*</mo><mi>t1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vy</mi><mo>=</mo><mn>3</mn><mo>*</mo><mi>b</mi><mo>*</mo><msup><mi>t1</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vz</mi><mo>=</mo><mo>(</mo><mn>2</mn><mo>*</mo><mi>c</mi><mo>*</mo><mi>t1</mi><mo>)</mo><mo>+</mo><mi>d</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><msqrt><mrow><msup><mi>vx</mi><mn>2</mn></msup><mo>+</mo><msup><mi>vy</mi><mn>2</mn></msup><mo>+</mo><msup><mi>vz</mi><mn>2</mn></msup></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ax</mi><mo>=</mo><mn>2</mn><mo>*</mo><mi>a</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ay</mi><mo>=</mo><mn>6</mn><mo>*</mo><mi>b</mi><mo>*</mo><mi>t2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>az</mi><mo>=</mo><mn>2</mn><mo>*</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ac</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><msqrt><mrow><msup><mi>ax</mi><mn>2</mn></msup><mo>+</mo><msup><mi>ay</mi><mn>2</mn></msup><mo>+</mo><msup><mi>az</mi><mn>2</mn></msup></mrow></msqrt></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mi>o</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>d</mi><mi>a</mi><mi>d</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>v</mi><mspace linebreak="newline"/><mi>a</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>a</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>ó</mi><mi>n</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>a</mi><mi>c</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> velocidad y aceleración a partir del vector de posición El vector de posición de un móvil es:

r= #a ti +(#b t + #c )j + #d t² k (SI)

Calcula:

El módulo de su velocidad para t= #t1 segundos
El módulo de su aceleración para t= #t2 segundos

]]> 1.0000000 0.3333333 0 0 velocidad =#vaceleración =#ac]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>2</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>7</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vx</mi><mo>=</mo><mi>a</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vy</mi><mo>=</mo><mi>b</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vz</mi><mo>=</mo><mn>2</mn><mo>*</mo><mi>d</mi><mo>*</mo><mi>t1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><msqrt><mrow><msup><mi>vx</mi><mn>2</mn></msup><mo>+</mo><msup><mi>vy</mi><mn>2</mn></msup><mo>+</mo><msup><mi>vz</mi><mn>2</mn></msup></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ax</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ay</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>az</mi><mo>=</mo><mn>2</mn><mo>*</mo><mi>d</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ac</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><msqrt><mrow><msup><mi>ax</mi><mn>2</mn></msup><mo>+</mo><msup><mi>ay</mi><mn>2</mn></msup><mo>+</mo><msup><mi>az</mi><mn>2</mn></msup></mrow></msqrt></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mi>o</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>d</mi><mi>a</mi><mi>d</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>v</mi><mspace linebreak="newline"/><mi>a</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>a</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>ó</mi><mi>n</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>a</mi><mi>c</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> velocidad y aceleración a partir del vector de posición El vector de posición de un móvil es:

r= #a t²i +#b t²j+(#c t³+#d t})k (SI)

Calcula:

El módulo de su velocidad para t= #t1 segundos
El módulo de su aceleración para t= #t2 segundos

]]> 1.0000000 0.3333333 0 0 velocidad =#vaceleración =#ac]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>2</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>7</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vx</mi><mo>=</mo><mn>2</mn><mo>*</mo><mi>a</mi><mo>*</mo><mi>t1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vy</mi><mo>=</mo><mn>2</mn><mo>*</mo><mi>b</mi><mo>*</mo><mi>t1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vz</mi><mo>=</mo><mo>(</mo><mn>3</mn><mo>*</mo><mi>c</mi><mo>*</mo><msup><mi>t1</mi><mn>2</mn></msup><mo>)</mo><mo>+</mo><mi>d</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><msqrt><mrow><msup><mi>vx</mi><mn>2</mn></msup><mo>+</mo><msup><mi>vy</mi><mn>2</mn></msup><mo>+</mo><msup><mi>vz</mi><mn>2</mn></msup></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ax</mi><mo>=</mo><mn>2</mn><mo>*</mo><mi>a</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ay</mi><mo>=</mo><mn>2</mn><mo>*</mo><mi>b</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>az</mi><mo>=</mo><mn>6</mn><mo>*</mo><mi>c</mi><mo>*</mo><mi>t2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ac</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><msqrt><mrow><msup><mi>ax</mi><mn>2</mn></msup><mo>+</mo><msup><mi>ay</mi><mn>2</mn></msup><mo>+</mo><msup><mi>az</mi><mn>2</mn></msup></mrow></msqrt></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mi>o</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>d</mi><mi>a</mi><mi>d</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>v</mi><mspace linebreak="newline"/><mi>a</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>a</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>ó</mi><mi>n</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>a</mi><mi>c</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> velocidad y aceleración a partir del vector de posición El vector de posición de un móvil es:

r= #a sen( #b t)i +#c t³j+ #d t k (SI) (ángulo en radianes)

Calcula:

El módulo de su velocidad para t= #t1 segundos
El módulo de su aceleración para t= #t2 segundos

]]> 1.0000000 0.3333333 0 0 velocidad =#vaceleración =#ac]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>2</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>7</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vx</mi><mo>=</mo><mi>a</mi><mo>*</mo><mi>b</mi><mo>*</mo><mi>cos</mi><mo>(</mo><mi>b</mi><mo>*</mo><mi>t1</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vy</mi><mo>=</mo><mn>3</mn><mo>*</mo><mi>c</mi><mo>*</mo><msup><mi>t1</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vz</mi><mo>=</mo><mi>d</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><msqrt><mrow><msup><mi>vx</mi><mn>2</mn></msup><mo>+</mo><msup><mi>vy</mi><mn>2</mn></msup><mo>+</mo><msup><mi>vz</mi><mn>2</mn></msup></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ax</mi><mo>=</mo><mo>-</mo><mi>a</mi><mo>*</mo><msup><mi>b</mi><mn>2</mn></msup><mi>sin</mi><mo>(</mo><mi>b</mi><mo>*</mo><mi>t2</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ay</mi><mo>=</mo><mn>6</mn><mo>*</mo><mi>c</mi><mo>*</mo><mi>t2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>az</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ac</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><msqrt><mrow><msup><mi>ax</mi><mn>2</mn></msup><mo>+</mo><msup><mi>ay</mi><mn>2</mn></msup><mo>+</mo><msup><mi>az</mi><mn>2</mn></msup></mrow></msqrt></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mi>o</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>d</mi><mi>a</mi><mi>d</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>v</mi><mspace linebreak="newline"/><mi>a</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>a</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>ó</mi><mi>n</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>a</mi><mi>c</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> velocidad y aceleración a partir del vector de posición El vector de posición de un móvil es:

r= #a t²i +#b t³j+(#c t²+#d t})k (SI)

Calcula:

El módulo de su velocidad para t= #t1 segundos
El módulo de su aceleración para t= #t2 segundos

]]> 1.0000000 0.3333333 0 0 velocidad =#vaceleración =#ac]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>2</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>2</mn><mo>,</mo><mn>7</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vx</mi><mo>=</mo><mn>2</mn><mo>*</mo><mi>a</mi><mo>*</mo><mi>t1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vy</mi><mo>=</mo><mn>3</mn><mo>*</mo><mi>b</mi><mo>*</mo><msup><mi>t1</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vz</mi><mo>=</mo><mo>(</mo><mn>2</mn><mo>*</mo><mi>c</mi><mo>*</mo><mi>t1</mi><mo>)</mo><mo>+</mo><mi>d</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><msqrt><mrow><msup><mi>vx</mi><mn>2</mn></msup><mo>+</mo><msup><mi>vy</mi><mn>2</mn></msup><mo>+</mo><msup><mi>vz</mi><mn>2</mn></msup></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ax</mi><mo>=</mo><mn>2</mn><mo>*</mo><mi>a</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ay</mi><mo>=</mo><mn>6</mn><mo>*</mo><mi>b</mi><mo>*</mo><mi>t2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>az</mi><mo>=</mo><mn>2</mn><mo>*</mo><mi>c</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ac</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><msqrt><mrow><msup><mi>ax</mi><mn>2</mn></msup><mo>+</mo><msup><mi>ay</mi><mn>2</mn></msup><mo>+</mo><msup><mi>az</mi><mn>2</mn></msup></mrow></msqrt></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mi>o</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>d</mi><mi>a</mi><mi>d</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>v</mi><mspace linebreak="newline"/><mi>a</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>a</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>ó</mi><mi>n</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>a</mi><mi>c</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 1º BACHILLERATO/FÍSICA/CINEMÁTICA/CINEMÁTICA VECTORIAL/ACELERACIONES Aceleración normal y tangencial Marque las afirmaciones correctas para un cuerpo que se mueve por una trayectoria rectilínea con rapidez variable.

]]> 1.0000000 0.3333333 0 false true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> Aceleración distinta de cero

]]> Aceleración normal = 0

]]> Aceleración normal distinta de cero

]]> Aceleración=0

]]> Aceleración tangencial =0

]]> Aceleración tangencial distinta de cero

]]> Aceleración normal y tangencial Marque las afirmaciones correctas para un cuerpo que se mueve por una trayectoria curva con rapidez constante.

]]> 1.0000000 0.3333333 0 false true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> Aceleración distinta de cero

]]> Aceleración normal = 0

]]> Aceleración normal distinta de cero

]]> Aceleración=0

]]> Aceleración tangencial =0

]]> Aceleración tangencial distinta de cero

]]> Aceleración normal y tangencial Marque las afirmaciones correctas para un cuerpo que se mueve por una trayectoria rectilínea con rapidez constante.

]]> 1.0000000 0.3333333 0 false true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> Aceleración distinta de cero

]]> Aceleración normal = 0

]]> Aceleración normal distinta de cero

]]> Aceleración=0

]]> Aceleración tangencial =0

]]> Aceleración tangencial distinta de cero

]]> Aceleración normal y tangencial Marque las afirmaciones correctas para un cuerpo que se mueve por una trayectoria curva con rapidez variable.

]]> 1.0000000 0.3333333 0 false true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> Aceleración distinta de cero

]]> Aceleración normal = 0

]]> Aceleración normal distinta de cero

]]> Aceleración=0

]]> Aceleración tangencial =0

]]> Aceleración tangencial distinta de cero

]]> aceleración y trayectoria Marca las afirmaciones que son correctas:

]]> 1.0000000 0.3333333 0 false true abc Respuesta correcta

]]> Respuesta parcialmente correcta.

]]> Respuesta incorrecta.

]]> Un movimiento curvo siempre es acelerado

]]> Un movimiento rectilíneo no tiene aceleración tangencial

]]> Un movimiento con aceleración normal distinta de cero tiene rapidez variable

]]> Un movimiento con aceleración normal distinta de cero tiene rapidez constante

]]> Un movimiento curvo tiene aceleración normal distinta de cero

]]> La aceleración es siempre tangente a la trayectoria

]]> La velocidad es siempre tangente a la trayectoria

]]> 1º BACHILLERATO/FÍSICA/CINEMÁTICA/COMPOSICIÓN DE MOVIMIENTOS Alcance Un jugador de fútbol lanza una pelota desde el suelo con una inclinación de #ang º sobre la horizontal. Si la pelota sale con una velocidad de #vel m/s. Determina la distancia horizontal, en m, a la que cae al suelo.

]]> 1.0000000 0.3333333 0 0 #dh]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ang</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>20</mn><mo>,</mo><mn>60</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vel</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>30</mn><mo>,</mo><mn>80</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anr</mi><mo>=</mo><mi>ang</mi><mo>*</mo><pi/><mo>/</mo><mn>180</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dh</mi><mo>=</mo><msup><mi>vel</mi><mn>2</mn></msup><mo>*</mo><mi>sin</mi><mo>(</mo><mn>2</mn><mo>*</mo><mi>anr</mi><mo>)</mo><mo>/</mo><mn>9</mn><mo>.</mo><mn>8</mn></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>d</mi><mi mathvariant="normal">h</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Barca y rio Para cruzar un río una barca se mueve perpendicularmente a la corriente con una velocidad constante de #vb m/s. Si la corriente tiene una velocidad de #vc m/s y el río tiene una anchura de #anc m. Calcula:

¿A qué distancia rio abajo atracará en la otra orilla?
¿Qué distancia recorrerá la barca?

]]> 1.0000000 0.3333333 0 0 Distancia rio abajo= #dr Distancia recorrida = #db]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vb</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vc</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>7</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anc</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>60</mn><mo>,</mo><mn>150</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mi>anc</mi><mo>/</mo><mi>vb</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dr</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><mi>t</mi><mo>*</mo><mi>vc</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>db</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><msqrt><mrow><msup><mi>anc</mi><mn>2</mn></msup><mo>+</mo><msup><mi>dr</mi><mn>2</mn></msup></mrow></msqrt></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">s</mi><mi>t</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>a</mi><mo> </mo><mi>r</mi><mi mathvariant="normal">i</mi><mi>o</mi><mo> </mo><mi>a</mi><mi mathvariant="normal">b</mi><mi>a</mi><mi mathvariant="normal">j</mi><mi>o</mi><mo>=</mo><mo> </mo><mo>#</mo><mi>d</mi><mi>r</mi><mspace linebreak="newline"/><mo> </mo><mi>D</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">s</mi><mi>t</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>a</mi><mo> </mo><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>o</mi><mi>r</mi><mi>r</mi><mi mathvariant="normal">i</mi><mi>d</mi><mi>a</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>d</mi><mi mathvariant="normal">b</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Desde un avión disparamos un misil Desde un helicóptero en reposo situado a #hin metros de altura disparamos un misil con una inclinación de #an º sobre la horizontal. Si el misil sale con una velocidad de #vel m/s. Determina:

Distancia horizontal, en metros, a la que cae al agua.
Módulo de la velocidad, en m/s, de impacto con el agua.

]]> 1.0000000 0.3333333 0 0 Distancia =#xfvelocidad=#mv]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>hin</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>300</mn><mo>,</mo><mn>600</mn><mo>)</mo><mo>*</mo><mn>10</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>an</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>30</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anr</mi><mo>=</mo><mi>an</mi><mo>*</mo><pi/><mo>/</mo><mn>180</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vel</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>300</mn><mo>,</mo><mn>500</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vx</mi><mo>=</mo><mi>vel</mi><mo>*</mo><mi>cos</mi><mo>(</mo><mi>anr</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vy</mi><mo>=</mo><mi>vel</mi><mo>*</mo><mi>sin</mi><mo>(</mo><mi>anr</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ra</mi><mo>=</mo><mo>-</mo><msqrt><mrow><msup><mi>vy</mi><mn>2</mn></msup><mo>+</mo><mn>19</mn><mo>.</mo><mn>6</mn><mo>*</mo><mi>hin</mi></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mo>(</mo><mi>ra</mi><mo>-</mo><mi>vy</mi><mo>)</mo><mo>/</mo><mo>(</mo><mo>-</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>xf</mi><mo>=</mo><mi>vx</mi><mo>*</mo><mi>t</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vyf</mi><mo>=</mo><mi>vy</mi><mo>-</mo><mo>(</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>t</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mv</mi><mo>=</mo><msqrt><mrow><msup><mi>vx</mi><mn>2</mn></msup><mo>+</mo><msup><mi>vyf</mi><mn>2</mn></msup></mrow></msqrt></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">s</mi><mi>t</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>a</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>x</mi><mi>f</mi><mspace linebreak="newline"/><mi>v</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mi>o</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>d</mi><mi>a</mi><mi>d</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">m</mi><mi>v</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Desde un avión disparamos un misil Desde un helicóptero en reposo situado a #hin metros de altura disparamos un misil con una inclinación de #an º bajo la horizontal. Si el misil sale con una velocidad de #vel m/s. Determina:

Distancia horizontal, en metros, a la que cae al agua.
Módulo de la velocidad, en m/s, de impacto con el agua.

]]> 1.0000000 0.3333333 0 0 Distancia =#xfvelocidad=#mv]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>hin</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>300</mn><mo>,</mo><mn>600</mn><mo>)</mo><mo>*</mo><mn>10</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>an</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>30</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anr</mi><mo>=</mo><mi>an</mi><mo>*</mo><pi/><mo>/</mo><mn>180</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vel</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>300</mn><mo>,</mo><mn>500</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vx</mi><mo>=</mo><mi>vel</mi><mo>*</mo><mi>cos</mi><mo>(</mo><mo>-</mo><mi>anr</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vy</mi><mo>=</mo><mi>vel</mi><mo>*</mo><mi>sin</mi><mo>(</mo><mo>-</mo><mi>anr</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ra</mi><mo>=</mo><mo>-</mo><msqrt><mrow><msup><mi>vy</mi><mn>2</mn></msup><mo>+</mo><mn>19</mn><mo>.</mo><mn>6</mn><mo>*</mo><mi>hin</mi></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mo>(</mo><mi>ra</mi><mo>-</mo><mi>vy</mi><mo>)</mo><mo>/</mo><mo>(</mo><mo>-</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>xf</mi><mo>=</mo><mi>vx</mi><mo>*</mo><mi>t</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vyf</mi><mo>=</mo><mi>vy</mi><mo>-</mo><mo>(</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>t</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mv</mi><mo>=</mo><msqrt><mrow><msup><mi>vx</mi><mn>2</mn></msup><mo>+</mo><msup><mi>vyf</mi><mn>2</mn></msup></mrow></msqrt></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">s</mi><mi>t</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>a</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>x</mi><mi>f</mi><mspace linebreak="newline"/><mi>v</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mi>o</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>d</mi><mi>a</mi><mi>d</mi><mo>=</mo><mo>#</mo><mi mathvariant="normal">m</mi><mi>v</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Desde un helicóptero Desde un helicóptero en reposo situado a #hin metros de altura dejamos caer una bomba. Si el viento tiene una velocidad de #vv m/s, determina:

Módulo de la velocidad, en m/s, cuando impacta con el suelo.
Ángulo de impacto, en grados respecto a la horizontal, con el suelo.

]]> 1.0000000 0.3333333 0 0 Módulo =#mvÁngulo =#avg ]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>hin</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>600</mn><mo>,</mo><mn>900</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vv</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>10</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><msqrt><mrow><mi>hin</mi><mo>/</mo><mn>4</mn><mo>.</mo><mn>9</mn></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vy</mi><mo>=</mo><mo>-</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>t</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mv</mi><mo>=</mo><msqrt><mrow><msup><mi>vv</mi><mn>2</mn></msup><mo>+</mo><msup><mi>vy</mi><mn>2</mn></msup></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>av</mi><mo>=</mo><mi>atan</mi><mo>(</mo><mi>vy</mi><mo>/</mo><mi>vv</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>avg</mi><mo>=</mo><mi>av</mi><mo>*</mo><mn>180</mn><mo>/</mo><pi/></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>M</mi><mi>ó</mi><mi>d</mi><mi>u</mi><mi mathvariant="normal">l</mi><mi>o</mi><mo> </mo><mo>=</mo><mo>#</mo><mi mathvariant="normal">m</mi><mi>v</mi><mspace linebreak="newline"/><mi>Á</mi><mi>n</mi><mi mathvariant="normal">g</mi><mi>u</mi><mi mathvariant="normal">l</mi><mi>o</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>a</mi><mi>v</mi><mi mathvariant="normal">g</mi><mo> </mo></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Desde una mesa Por una mesa horizontal situada a #hin metros de altura rueda una bola con una velocidad de #vin m/s y llega al borde. Determina:

Distancia horizontal, en m, a la que cae al suelo.
Rapidez, en m/s, de impacto con el suelo.

]]> 1.0000000 0.3333333 0 0 Distancia =#xfRapidez =#mv ]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>hin</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>60</mn><mo>,</mo><mn>90</mn><mo>)</mo><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vin</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><msqrt><mrow><mi>hin</mi><mo>/</mo><mn>4</mn><mo>.</mo><mn>9</mn></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vy</mi><mo>=</mo><mo>-</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>t</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mv</mi><mo>=</mo><msqrt><mrow><msup><mi>vin</mi><mn>2</mn></msup><mo>+</mo><msup><mi>vy</mi><mn>2</mn></msup></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>xf</mi><mo>=</mo><mi>vin</mi><mo>*</mo><mi>t</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>D</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">s</mi><mi>t</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>a</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>x</mi><mi>f</mi><mspace linebreak="newline"/><mi>R</mi><mi>a</mi><mi>p</mi><mi mathvariant="normal">i</mi><mi>d</mi><mi mathvariant="normal">e</mi><mi>z</mi><mo> </mo><mo>=</mo><mo>#</mo><mi mathvariant="normal">m</mi><mi>v</mi><mo> </mo></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Jugador de fútbol y valla Un jugador de fútbol lanza una pelota desde el suelo con una inclinación de #an º sobre la horizontal y desea superar una valla situada a #dx metros de distancia con una altura de #dy metros. Calcula la velocidad mínima, en m/s, del lanzamiento.

]]> 1.0000000 0.3333333 0 0 #mv]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dx</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>20</mn><mo>,</mo><mn>40</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dy</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>an</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>30</mn><mo>,</mo><mn>60</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anr</mi><mo>=</mo><mi>an</mi><mo>*</mo><pi/><mo>/</mo><mn>180</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><msqrt><mrow><mo>(</mo><mo>(</mo><mi>dx</mi><mo>*</mo><mi>tan</mi><mo>(</mo><mi>anr</mi><mo>)</mo><mo>)</mo><mo>-</mo><mi>dy</mi><mo>)</mo><mo>/</mo><mn>4</mn><mo>.</mo><mn>9</mn></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mv</mi><mo>=</mo><mi>dx</mi><mo>/</mo><mo>(</mo><mi>t</mi><mo>*</mo><mi>cos</mi><mo>(</mo><mi>anr</mi><mo>)</mo><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">m</mi><mi>v</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Parabólico desde acantilado Desde un acantilado situado a #hi metros de altura disparamos un cañón con una inclinación de #an º sobre la horizontal. Si la bala sale con una velocidad de #vi m/s. Determina:

Distancia horizontal a la que cae al agua.
Velocidad de impacto con el agua.

]]> 1.0000000 0.3333333 0 0 distancia X =#dxVelocidad impacto =#vf]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>hi</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mn>8</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vi</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>6</mn><mo>,</mo><mn>30</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>an</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>20</mn><mo>,</mo><mn>70</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anr</mi><mo>=</mo><mi>an</mi><mo>*</mo><pi/><mo>/</mo><mn>180</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vx</mi><mo>=</mo><mi>vi</mi><mo>*</mo><mi>cos</mi><mo>(</mo><mi>anr</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vy</mi><mo>=</mo><mi>vi</mi><mo>*</mo><mi>sin</mi><mo>(</mo><mi>anr</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>raiz1</mi><mo>=</mo><msqrt><mrow><msup><mi>vy</mi><mn>2</mn></msup><mo>+</mo><mo>(</mo><mn>19</mn><mo>.</mo><mn>6</mn><mo>*</mo><mi>hi</mi><mo>)</mo></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mo>(</mo><mi>vy</mi><mo>+</mo><mi>raiz1</mi><mo>)</mo><mo>/</mo><mn>9</mn><mo>.</mo><mn>8</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dx</mi><mo>=</mo><mi>t</mi><mo>*</mo><mi>vx</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vyf</mi><mo>=</mo><mi>vy</mi><mo>-</mo><mo>(</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>t</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vf</mi><mo>=</mo><msqrt><mrow><msup><mi>vx</mi><mn>2</mn></msup><mo>+</mo><msup><mi>vyf</mi><mn>2</mn></msup></mrow></msqrt></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">s</mi><mi>t</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>a</mi><mo> </mo><mi>X</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>d</mi><mi>x</mi><mspace linebreak="newline"/><mi>V</mi><mi mathvariant="normal">e</mi><mi>l</mi><mi>o</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>d</mi><mi>a</mi><mi>d</mi><mo> </mo><mi mathvariant="normal">i</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>a</mi><mi>c</mi><mi>t</mi><mi>o</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>v</mi><mi>f</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units">m, s, g, °, ', "</param><param name="decimalseparators">., \,</param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option><option name="answer_parameter">true</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Parabólico desde acantilado Desde un acantilado situado a #hi metros de altura disparamos un cañón con una inclinación de #an º sobre la horizontal. Si la bala sale con una velocidad de #vi m/s. Determina:

Distancia horizontal a la que cae al agua.
Velocidad de impacto con el agua.

]]> 1.0000000 0.3333333 0 0 distancia X =#dxVelocidad impacto =#vf]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>hi</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mn>8</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vi</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>6</mn><mo>,</mo><mn>30</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>an</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>20</mn><mo>,</mo><mn>70</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anr</mi><mo>=</mo><mi>an</mi><mo>*</mo><pi/><mo>/</mo><mn>180</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vx</mi><mo>=</mo><mi>vi</mi><mo>*</mo><mi>cos</mi><mo>(</mo><mi>anr</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vy</mi><mo>=</mo><mi>vi</mi><mo>*</mo><mi>sin</mi><mo>(</mo><mi>anr</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>raiz1</mi><mo>=</mo><msqrt><mrow><msup><mi>vy</mi><mn>2</mn></msup><mo>+</mo><mo>(</mo><mn>19</mn><mo>.</mo><mn>6</mn><mo>*</mo><mi>hi</mi><mo>)</mo></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mo>(</mo><mi>vy</mi><mo>+</mo><mi>raiz1</mi><mo>)</mo><mo>/</mo><mn>9</mn><mo>.</mo><mn>8</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dx</mi><mo>=</mo><mi>t</mi><mo>*</mo><mi>vx</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vyf</mi><mo>=</mo><mi>vy</mi><mo>-</mo><mo>(</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>t</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vf</mi><mo>=</mo><msqrt><mrow><msup><mi>vx</mi><mn>2</mn></msup><mo>+</mo><msup><mi>vyf</mi><mn>2</mn></msup></mrow></msqrt></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">s</mi><mi>t</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>a</mi><mo> </mo><mi>X</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>d</mi><mi>x</mi><mspace linebreak="newline"/><mi mathvariant="normal">V</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mi>o</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>d</mi><mi>a</mi><mi>d</mi><mo> </mo><mi mathvariant="normal">i</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>a</mi><mi>c</mi><mi>t</mi><mi>o</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>v</mi><mi>f</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Parabólico desde avión Desde un avión situado a #hi metros de altura que se mueve a #va m/s, disparamos un misil con una inclinación de #an º bajo la horizontal. Si la bala sale con una velocidad de #vm m/s. Determina:

Distancia horizontal a la que cae al suelo.
Velocidad de impacto con el suelo.

]]> 1.0000000 0.3333333 0 0 distancia X =#dxVelocidad impacto =#vf]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>hi</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mn>5000</mn><mo>,</mo><mn>9000</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>va</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>200</mn><mo>,</mo><mn>300</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vm</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>200</mn><mo>,</mo><mn>500</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>an</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>20</mn><mo>,</mo><mn>70</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anr</mi><mo>=</mo><mo>-</mo><mi>an</mi><mo>*</mo><pi/><mo>/</mo><mn>180</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vx</mi><mo>=</mo><mo>(</mo><mi>vm</mi><mo>*</mo><mi>cos</mi><mo>(</mo><mi>anr</mi><mo>)</mo><mo>)</mo><mo>+</mo><mi>va</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vy</mi><mo>=</mo><mi>vm</mi><mo>*</mo><mi>sin</mi><mo>(</mo><mi>anr</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>raiz1</mi><mo>=</mo><msqrt><mrow><msup><mi>vy</mi><mn>2</mn></msup><mo>+</mo><mo>(</mo><mn>19</mn><mo>.</mo><mn>6</mn><mo>*</mo><mi>hi</mi><mo>)</mo></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mo>(</mo><mi>vy</mi><mo>+</mo><mi>raiz1</mi><mo>)</mo><mo>/</mo><mn>9</mn><mo>.</mo><mn>8</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dx</mi><mo>=</mo><mi>t</mi><mo>*</mo><mi>vx</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vyf</mi><mo>=</mo><mi>vy</mi><mo>-</mo><mo>(</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>t</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vf</mi><mo>=</mo><msqrt><mrow><msup><mi>vx</mi><mn>2</mn></msup><mo>+</mo><msup><mi>vyf</mi><mn>2</mn></msup></mrow></msqrt></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">s</mi><mi>t</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>a</mi><mo> </mo><mi>X</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>d</mi><mi>x</mi><mspace linebreak="newline"/><mi mathvariant="normal">V</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mi>o</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>d</mi><mi>a</mi><mi>d</mi><mo> </mo><mi mathvariant="normal">i</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>a</mi><mi>c</mi><mi>t</mi><mi>o</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>v</mi><mi>f</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Parabólico desde pozo Desde una hondonada de #hip metros de profundidad disparamos un cohete con una inclinación de #an º sobre la horizontal. Si sale con una velocidad de #vi m/s. Determina:

Distancia horizontal a la que cae al suelo exterior.
Velocidad de impacto con el agua.

]]> 1.0000000 0.3333333 0 0 distancia X =#dxVelocidad impacto =#vf]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>hip</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>hi</mi><mo>=</mo><mo>-</mo><mi>hip</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vi</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>20</mn><mo>,</mo><mn>50</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>an</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>20</mn><mo>,</mo><mn>70</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anr</mi><mo>=</mo><mi>an</mi><mo>*</mo><pi/><mo>/</mo><mn>180</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vx</mi><mo>=</mo><mi>vi</mi><mo>*</mo><mi>cos</mi><mo>(</mo><mi>anr</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vy</mi><mo>=</mo><mi>vi</mi><mo>*</mo><mi>sin</mi><mo>(</mo><mi>anr</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>raiz1</mi><mo>=</mo><msqrt><mrow><msup><mi>vy</mi><mn>2</mn></msup><mo>+</mo><mo>(</mo><mn>19</mn><mo>.</mo><mn>6</mn><mo>*</mo><mi>hi</mi><mo>)</mo></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mo>(</mo><mi>vy</mi><mo>+</mo><mi>raiz1</mi><mo>)</mo><mo>/</mo><mn>9</mn><mo>.</mo><mn>8</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>dx</mi><mo>=</mo><mi>t</mi><mo>*</mo><mi>vx</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vyf</mi><mo>=</mo><mi>vy</mi><mo>-</mo><mo>(</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>t</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vf</mi><mo>=</mo><msqrt><mrow><msup><mi>vx</mi><mn>2</mn></msup><mo>+</mo><msup><mi>vyf</mi><mn>2</mn></msup></mrow></msqrt></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">s</mi><mi>t</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>a</mi><mo> </mo><mi>X</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>d</mi><mi>x</mi><mspace linebreak="newline"/><mi mathvariant="normal">V</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mi>o</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>d</mi><mi>a</mi><mi>d</mi><mo> </mo><mi mathvariant="normal">i</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>a</mi><mi>c</mi><mi>t</mi><mi>o</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>v</mi><mi>f</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> velocidad y posicion en un tiempo Un jugador de fútbol lanza una pelota desde el suelo con una inclinación de #ang º sobre la horizontal. Si la pelota sale con una velocidad de #vel m/s. Determina.

Velocidad en el punto más alto
Posición al cabo de #t segundos

]]> 1.0000000 0.3333333 0 0 1.- Velocidad = #vx2.- Posición: x= #x y = #y]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ang</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>20</mn><mo>,</mo><mn>60</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vel</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>30</mn><mo>,</mo><mn>80</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anr</mi><mo>=</mo><mi>ang</mi><mo>*</mo><pi/><mo>/</mo><mn>180</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vx</mi><mo>=</mo><mi>vel</mi><mo>*</mo><mi>cos</mi><mo>(</mo><mi>anr</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vy</mi><mo>=</mo><mi>vel</mi><mo>*</mo><mi>sin</mi><mo>(</mo><mi>anr</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>vx</mi><mo>*</mo><mi>t</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>(</mo><mi>vy</mi><mo>*</mo><mi>t</mi><mo>)</mo><mo>-</mo><mn>4</mn><mo>.</mo><mn>9</mn><mo>*</mo><msup><mi>t</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>.</mo><mo>-</mo><mo> </mo><mi mathvariant="normal">V</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mi>o</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>d</mi><mi>a</mi><mi>d</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>v</mi><mi>x</mi><mspace linebreak="newline"/><mn>2</mn><mo>.</mo><mo>-</mo><mo> </mo><mi>P</mi><mi>o</mi><mi mathvariant="normal">s</mi><mi mathvariant="normal">i</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>ó</mi><mi>n</mi><mo>:</mo><mo> </mo><mi>x</mi><mo>=</mo><mo> </mo><mo>#</mo><mi>x</mi><mspace linebreak="newline"/><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mi>y</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>y</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> velocidad y posicion en un tiempo (copia) Un jugador de fútbol lanza una pelota desde el suelo con una inclinación de #ang º sobre la horizontal. Si la pelota sale con una velocidad de #vel m/s. Determina, al cabo de #t segundos

Rapidez (m/s)
Posición (metros)

]]> 1.0000000 0.3333333 0 0 1.- Rapidez = #v2.- Posición: x= #x y = #y]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ang</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>20</mn><mo>,</mo><mn>60</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vel</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>30</mn><mo>,</mo><mn>80</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anr</mi><mo>=</mo><mi>ang</mi><mo>*</mo><pi/><mo>/</mo><mn>180</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vx</mi><mo>=</mo><mi>vel</mi><mo>*</mo><mi>cos</mi><mo>(</mo><mi>anr</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vy</mi><mo>=</mo><mi>vel</mi><mo>*</mo><mi>sin</mi><mo>(</mo><mi>anr</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vyf</mi><mo>=</mo><mi>vy</mi><mo>-</mo><mo>(</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>t</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi><mo>=</mo><msqrt><mrow><msup><mi>vx</mi><mn>2</mn></msup><mo>+</mo><msup><mi>vyf</mi><mn>2</mn></msup></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>vx</mi><mo>*</mo><mi>t</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y</mi><mo>=</mo><mo>(</mo><mi>vy</mi><mo>*</mo><mi>t</mi><mo>)</mo><mo>-</mo><mn>4</mn><mo>.</mo><mn>9</mn><mo>*</mo><msup><mi>t</mi><mn>2</mn></msup></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>.</mo><mo>-</mo><mo> </mo><mi>R</mi><mi>a</mi><mi>p</mi><mi mathvariant="normal">i</mi><mi>d</mi><mi mathvariant="normal">e</mi><mi>z</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>v</mi><mspace linebreak="newline"/><mn>2</mn><mo>.</mo><mo>-</mo><mo> </mo><mi>P</mi><mi>o</mi><mi mathvariant="normal">s</mi><mi mathvariant="normal">i</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>ó</mi><mi>n</mi><mo>:</mo><mo> </mo><mi>x</mi><mo>=</mo><mo> </mo><mo>#</mo><mi>x</mi><mspace linebreak="newline"/><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mo> </mo><mi>y</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>y</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/><data name="inputCompound">true</data></localData></question> 1º BACHILLERATO/FÍSICA/CINEMÁTICA/MOVIMIENTOS CIRCULARES aceleración angular Un disco, partiendo del reposo, alcanza #w rpm en #t segundos. Determina:

Su aceleración angular en rd/s².
El ángulo girado en radianes.

]]> 1.0000000 0.3333333 0 0 Aceleración angular =#aanÁngulo girado =#agi]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>500</mn><mo>,</mo><mn>4000</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>9</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>wi</mi><mo>=</mo><mi>w</mi><mo>*</mo><pi/><mo>/</mo><mn>30</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>aan</mi><mo>=</mo><mo> </mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><mi>wi</mi><mo>/</mo><mi>t</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>agi</mi><mo>=</mo><mi>aan</mi><mo>*</mo><msup><mi>t</mi><mn>2</mn></msup><mo>/</mo><mn>2</mn><mo>.</mo><mn>0</mn></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>a</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>ó</mi><mi>n</mi><mo> </mo><mi>a</mi><mi>n</mi><mi mathvariant="normal">g</mi><mi>u</mi><mi mathvariant="normal">l</mi><mi>a</mi><mi>r</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>a</mi><mi>a</mi><mi>n</mi><mspace linebreak="newline"/><mi>Á</mi><mi>n</mi><mi mathvariant="normal">g</mi><mi>u</mi><mi mathvariant="normal">l</mi><mi>o</mi><mo> </mo><mi mathvariant="normal">g</mi><mi mathvariant="normal">i</mi><mi>rad</mi><mi>o</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>a</mi><mi mathvariant="normal">g</mi><mi mathvariant="normal">i</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.02))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Aceleración normal y tangencial Un disco pasa de #v1 a #v2 rpm en #t segundos. Calcula:

la aceleración tangencial, en m/s², de un punto del borde a #di cm del eje.
La aceleración normal, en m/s², de ese mismo punto en el momento final

]]> 1.0000000 0.3333333 0 0 Aceleración tangencial =#atAceleración normal =#an]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>20</mn><mo>,</mo><mn>50</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>70</mn><mo>,</mo><mn>110</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w1</mi><mo>=</mo><mi>v1</mi><mo>*</mo><pi/><mo>/</mo><mn>30</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w2</mi><mo>=</mo><mi>v2</mi><mo>*</mo><pi/><mo>/</mo><mn>30</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>di</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>25</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>at</mi><mo>=</mo><mi>di</mi><mo>*</mo><mo>(</mo><mi>w2</mi><mo>-</mo><mi>w1</mi><mo>)</mo><mo>/</mo><mo>(</mo><mi>t</mi><mo>*</mo><mn>100</mn><mo>.</mo><mn>0</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>an</mi><mo>=</mo><msup><mi>w2</mi><mn>2</mn></msup><mo>*</mo><mi>di</mi><mo>/</mo><mn>100</mn><mo>.</mo><mn>0</mn></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>A</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>a</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>ó</mi><mi>n</mi><mo> </mo><mi>t</mi><mi>a</mi><mi>n</mi><mi mathvariant="normal">g</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>a</mi><mi mathvariant="normal">l</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>a</mi><mi>t</mi><mspace linebreak="newline"/><mi>A</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>a</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>ó</mi><mi>n</mi><mo> </mo><mi>n</mi><mi>o</mi><mi>r</mi><mi mathvariant="normal">m</mi><mi>a</mi><mi mathvariant="normal">l</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>a</mi><mi>n</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.02))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Ángulo girado Un disco gira a una velocidad constante de #r rpm. Calcula:

El ángulo, en radianes, que girará en #t segundos
El tiempo que tarda en dar #v vueltas

]]> 1.0000000 0.3333333 0 0 Ángulo =#anTiempo= #tie]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>200</mn><mo>,</mo><mn>2000</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>30</mn><mo>,</mo><mn>80</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>60</mn><mo>,</mo><mn>130</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rr</mi><mo>=</mo><mi>r</mi><mo>*</mo><pi/><mo>/</mo><mn>30</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>an</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><mi>rr</mi><mo>*</mo><mi>t</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>tie</mi><mo>=</mo><mi>v</mi><mo>*</mo><mn>2</mn><mo>.</mo><mn>0</mn><mo>*</mo><pi/><mo>/</mo><mi>rr</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>Á</mi><mi>n</mi><mi mathvariant="normal">g</mi><mi>u</mi><mi mathvariant="normal">l</mi><mi>o</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>a</mi><mi>n</mi><mspace linebreak="newline"/><mi mathvariant="normal">T</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>o</mi><mo>=</mo><mo> </mo><mo>#</mo><mi>t</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.02))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Dos discos con cinta Dos discos A y B están conectados por una cadena que los rodea. Si sus radios son #r1 y #r2 cm respectivamente y un punto del borde del disco A gira con una velocidad angular constante de #w1 rpm. Calcula la velocidad, en rd/s, de un punto del borde del disco B

]]> 1.0000000 0.3333333 0 0 #w2 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>15</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>30</mn><mo>,</mo><mn>60</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>wr1</mi><mo>=</mo><mi>w1</mi><mo>*</mo><pi/><mo>/</mo><mn>30</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w2</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><mi>wr1</mi><mo>*</mo><mi>r1</mi><mo>/</mo><mi>r2</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#w2</correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.02))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Dos discos con eje común Dos discos A y B están soldados a un eje común. Si sus radios son #r1 y #r2 cm respectivamente y un punto del borde del disco A gira con una velocidad constante de #v1 m/s. Calcula la velocidad, en m/s, de un punto del borde del disco B

]]> 1.0000000 0.3333333 0 0 #v2 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>15</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>30</mn><mo>,</mo><mn>60</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v2</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><mi>v1</mi><mo>*</mo><mi>r2</mi><mo>/</mo><mi>r1</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#v2</correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.02))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Engranajes Observa la figura. Si el disco 1 gira con una velocidad angular de #w1 rpm. Calcula la velocidad angular, en rd/s del disco 4:

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 1.0000000 0.3333333 0 0 #w2 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>30</mn><mo>,</mo><mn>80</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>wr1</mi><mo>=</mo><mi>w1</mi><mo>*</mo><pi/><mo>/</mo><mn>30</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w2</mi><mo>=</mo><mi>wr1</mi><mo>/</mo><mn>8</mn><mo>.</mo><mn>0</mn></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#w2</correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.02))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Frecuencia y periodo Un disco gira a una velocidad de #r rpm. Calcula su frecuencia en Hz (ciclos/segundo) y su periodo (tiempo que tarda en dar un ciclo)

]]> 1.0000000 0.3333333 0 0 Frecuencia =#frePeriodo = #pe]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>10</mn><mo>,</mo><mn>60</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>fre</mi><mo>=</mo><mi>r</mi><mo>/</mo><mn>60</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pe</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>/</mo><mi>fre</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>F</mi><mi>r</mi><mi mathvariant="normal">e</mi><mi>c</mi><mi>u</mi><mi mathvariant="normal">e</mi><mi>n</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>a</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>f</mi><mi>r</mi><mi mathvariant="normal">e</mi><mspace linebreak="newline"/><mi>P</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi mathvariant="normal">i</mi><mi>o</mi><mi>d</mi><mi>o</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>p</mi><mi mathvariant="normal">e</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.02))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Planeta Tierra El radio medio del planeta Tierra es de 6371 Km. Calcula, teniendo en cuenta sólo la rotación terrestre, la velocidad en Km/h que tendría un objeto:

Situado en el Ecuador
Situado a una latitud de #la º

]]> 1.0000000 0.3333333 0 0 1.-= #vec2.-= #vla]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vec</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><mn>6371</mn><mo>*</mo><pi/><mo>/</mo><mn>12</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>la</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>20</mn><mo>,</mo><mn>70</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rla</mi><mo>=</mo><mn>6371</mn><mo>*</mo><mi>cos</mi><mo>(</mo><mi>la</mi><mo>*</mo><pi/><mo>/</mo><mn>180</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vla</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><mi>rla</mi><mo>*</mo><pi/><mo>/</mo><mn>12</mn></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>.</mo><mo>-</mo><mo>=</mo><mo> </mo><mo> </mo><mo>#</mo><mi>v</mi><mi mathvariant="normal">e</mi><mi>c</mi><mspace linebreak="newline"/><mn>2</mn><mo>.</mo><mo>-</mo><mo>=</mo><mo> </mo><mo>#</mo><mi>v</mi><mi mathvariant="normal">l</mi><mi>a</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.02))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Reloj Las dos manecillas de un reloj coinciden a las 12 en punto. ¿Cuántos minutos después vuelven a coincidir?

]]> 1.0000000 0.3333333 0 0 #mi]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mi</mi><mo>=</mo><mn>60</mn><mo>+</mo><mo>(</mo><mn>30</mn><mo>/</mo><mn>5</mn><mo>.</mo><mn>5</mn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi mathvariant="normal">m</mi><mi mathvariant="normal">i</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.02))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Taladro Un taladro pasa de #w1 a #w2 rpm en #t segundos. Calcula el número de vueltas girado en ese tiempo.

]]> 1.0000000 0.3333333 0 0 #an <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>100</mn><mo>,</mo><mn>500</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w2</mi><mo> </mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>200</mn><mo>,</mo><mn>700</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>wr1</mi><mo>=</mo><mi>w1</mi><mo>*</mo><pi/><mo>/</mo><mn>30</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>wr2</mi><mo>=</mo><mi>w2</mi><mo>*</mo><pi/><mo>/</mo><mn>30</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>aa</mi><mo>=</mo><mo>(</mo><mi>wr2</mi><mo>-</mo><mi>wr1</mi><mo>)</mo><mo>/</mo><mi>t</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>an</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><mo>(</mo><mo>(</mo><mi>wr1</mi><mo>*</mo><mi>t</mi><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn><mo>*</mo><mi>aa</mi><mo>*</mo><msup><mi>t</mi><mn>2</mn></msup><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>an</mi><mo>=</mo><mi>an</mi><mo>/</mo><mo>(</mo><mn>2</mn><mo>*</mo><pi/><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#an</correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units">m, s, g, °, ', "</param><param name="decimalseparators">., \,</param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.02))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option><option name="answer_parameter">true</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Taladro Un taladro pasa de #w1 a #w2 rpm en #t segundos. Calcula el número de vueltas girado en ese timepo.

]]> 1.0000000 0.3333333 0 0 #an <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>100</mn><mo>,</mo><mn>500</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>w2</mi><mo> </mo><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>200</mn><mo>,</mo><mn>700</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>wr1</mi><mo>=</mo><mi>w1</mi><mo>*</mo><pi/><mo>/</mo><mn>30</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>wr2</mi><mo>=</mo><mi>w2</mi><mo>*</mo><pi/><mo>/</mo><mn>30</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>aa</mi><mo>=</mo><mo>(</mo><mi>wr2</mi><mo>-</mo><mi>wr1</mi><mo>)</mo><mo>/</mo><mi>t</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>an</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><mo>(</mo><mo>(</mo><mi>wr1</mi><mo>*</mo><mi>t</mi><mo>)</mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn><mo>*</mo><mi>aa</mi><mo>*</mo><msup><mi>t</mi><mn>2</mn></msup><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>an</mi><mo>=</mo><mi>an</mi><mo>/</mo><mo>(</mo><mn>2</mn><mo>*</mo><pi/><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#an</correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units">m, s, g, °, ', "</param><param name="decimalseparators">., \,</param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.02))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator"></option><option name="imaginary_unit"></option><option name="answer_parameter">true</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 1º BACHILLERATO/FÍSICA/CINEMÁTICA/MOVIMIENTOS RECTILÍNEOS/MOVIMIENTOS ACELERADOS Aceleración Un coche circula por una autopista con una velocidad de #v1 Km/h. #di m más adelante tiene una velocidad de #v2 Km/h. Calcula:

Aceleración en m/s².
Tiempo de movimiento en segundos.

]]> 1.0000000 0.3333333 0 0 aceleración = #atiempo = #t]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>di</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mn>40</mn><mo>,</mo><mn>80</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>90</mn><mo>,</mo><mn>130</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v2</mi><mo> </mo><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mn>80</mn><mo>,</mo><mn>140</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v1ms</mi><mo>=</mo><mi>v1</mi><mo>/</mo><mn>3</mn><mo>.</mo><mn>6</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v2ms</mi><mo>=</mo><mi>v2</mi><mo>/</mo><mn>3</mn><mo>.</mo><mn>6</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo>(</mo><msup><mi>v2ms</mi><mn>2</mn></msup><mo>-</mo><msup><mi>v1ms</mi><mn>2</mn></msup><mo>)</mo><mo>/</mo><mo>(</mo><mn>2</mn><mo>*</mo><mi>di</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mo>(</mo><mi>v2ms</mi><mo>-</mo><mi>v1ms</mi><mo>)</mo><mo>/</mo><mi>a</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>gx</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>fc</mi><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo><mo>:</mo><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">begin</csymbol><mtable><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mo>(</mo><mfenced close="|" open="|"><mrow><mo>(</mo><mi>x</mi><mo>-</mo><mi>a</mi><mo>)</mo><mo>/</mo><mi>a</mi></mrow></mfenced><mo><</mo><mn>0</mn><mo>.</mo><mn>02</mn><mo>)</mo></mrow><mrow><mi>gx</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></apply></mtd></mtr><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mo>(</mo><mfenced close="|" open="|"><mrow><mo>(</mo><mi>y</mi><mo>-</mo><mi>t</mi><mo>)</mo><mo>/</mo><mi>t</mi></mrow></mfenced><mo><</mo><mn>0</mn><mo>.</mo><mn>02</mn><mo>)</mo></mrow><mrow><mi>gx</mi><mo>=</mo><mi>gx</mi><mo> </mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></apply></mtd></mtr><mtr><mtd><mi>devolver</mi><mo> </mo><mi>gx</mi></mtd></mtr></mtable></apply></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>a</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>ó</mi><mi>n</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>a</mi><mspace linebreak="newline"/><mi>t</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>o</mi><mo> </mo><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>t</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_function"><param name="name">fc</param><param name="notevaluate">false</param></assertion></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Aceleración móvil Un móvil circula por una pista con una velocidad #vi m/s, frena durante #t segundos y al final tiene una velocidad de #vf m/s. Calcula:

Su aceleración en m/s²
El espacio recorrido en metros

]]> 1.0000000 0.3333333 0 0 aceleración =#aDistancia =#d]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vi</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>50</mn><mo>,</mo><mn>70</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vf</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>10</mn><mo>,</mo><mn>35</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><mo>(</mo><mi>vf</mi><mo>-</mo><mi>vi</mi><mo>)</mo><mo>/</mo><mi>t</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mo>=</mo><mo> </mo><mo>(</mo><mi>vi</mi><mo>*</mo><mi>t</mi><mo>)</mo><mo>+</mo><mo>(</mo><mi>a</mi><mo>*</mo><mi>t</mi><mo>*</mo><mi>t</mi><mo>)</mo><mo>/</mo><mn>2</mn><mo>.</mo><mn>0</mn></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>a</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>ó</mi><mi>n</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>a</mi><mspace linebreak="newline"/><mi>D</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">s</mi><mi>t</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>a</mi><mo> </mo><mo>=</mo><mo>#</mo><mi>d</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.02))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Frenado Un coche circula por una autopista con una velocidad de #vi Km/h. Ve un obstáculo y, 0.5 segundos más tarde, frena con una aceleración de frenado de #af m/s². Calcula:

Distancia, en m, hasta que se para.
Tiempo de frenado en segundos.

]]> 1.0000000 0.3333333 0 0 distancia = #ditiempo = #t]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>af</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mo>-</mo><mn>10</mn><mo>,</mo><mo>-</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vi</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>90</mn><mo>,</mo><mn>130</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vms</mi><mo>=</mo><mi>vi</mi><mo>/</mo><mn>3</mn><mo>.</mo><mn>6</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>di</mi><mo>=</mo><mo>(</mo><mi>vms</mi><mo>*</mo><mn>0</mn><mo>.</mo><mn>5</mn><mo>)</mo><mo>-</mo><msup><mi>vms</mi><mn>2</mn></msup><mo>/</mo><mo>(</mo><mn>2</mn><mo>*</mo><mi>af</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>5</mn><mo>-</mo><mi>vms</mi><mo>/</mo><mi>af</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>gx</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>fc</mi><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo><mo>:</mo><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">begin</csymbol><mtable><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mo>(</mo><mfenced close="|" open="|"><mrow><mo>(</mo><mi>x</mi><mo>-</mo><mi>di</mi><mo>)</mo><mo>/</mo><mi>di</mi></mrow></mfenced><mo><</mo><mn>0</mn><mo>.</mo><mn>02</mn><mo>)</mo></mrow><mrow><mi>gx</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></apply></mtd></mtr><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mo>(</mo><mfenced close="|" open="|"><mrow><mo>(</mo><mi>y</mi><mo>-</mo><mi>t</mi><mo>)</mo><mo>/</mo><mi>t</mi></mrow></mfenced><mo><</mo><mn>0</mn><mo>.</mo><mn>02</mn><mo>)</mo></mrow><mrow><mi>gx</mi><mo>=</mo><mi>gx</mi><mo> </mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></apply></mtd></mtr><mtr><mtd><mi>devolver</mi><mo> </mo><mi>gx</mi></mtd></mtr></mtable></apply></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">s</mi><mi>t</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>a</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>d</mi><mi mathvariant="normal">i</mi><mspace linebreak="newline"/><mi>t</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>o</mi><mo> </mo><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>t</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_function"><param name="name">fc</param><param name="notevaluate">false</param></assertion></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Frenado Un coche circula por una autopista con una velocidad de #vi Km/h. Ve un obstáculo y frena en #di m. Calcula:

Aceleración en m/s².
Tiempo de frenado en segundos.

]]> 1.0000000 0.3333333 0 0 aceleración = #atiempo = #t]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>di</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mn>40</mn><mo>,</mo><mn>80</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vi</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>90</mn><mo>,</mo><mn>130</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vms</mi><mo>=</mo><mi>vi</mi><mo>/</mo><mn>3</mn><mo>.</mo><mn>6</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo>-</mo><msup><mi>vms</mi><mn>2</mn></msup><mo>/</mo><mo>(</mo><mn>2</mn><mo>*</mo><mi>di</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mo>-</mo><mi>vms</mi><mo>/</mo><mi>a</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>gx</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>fc</mi><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo><mo>:</mo><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">begin</csymbol><mtable><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mo>(</mo><mfenced close="|" open="|"><mrow><mo>(</mo><mi>x</mi><mo>-</mo><mi>a</mi><mo>)</mo><mo>/</mo><mi>a</mi></mrow></mfenced><mo><</mo><mn>0</mn><mo>.</mo><mn>02</mn><mo>)</mo></mrow><mrow><mi>gx</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></apply></mtd></mtr><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mo>(</mo><mfenced close="|" open="|"><mrow><mo>(</mo><mi>y</mi><mo>-</mo><mi>t</mi><mo>)</mo><mo>/</mo><mi>t</mi></mrow></mfenced><mo><</mo><mn>0</mn><mo>.</mo><mn>02</mn><mo>)</mo></mrow><mrow><mi>gx</mi><mo>=</mo><mi>gx</mi><mo> </mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></apply></mtd></mtr><mtr><mtd><mi>devolver</mi><mo> </mo><mi>gx</mi></mtd></mtr></mtable></apply></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>a</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>ó</mi><mi>n</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>a</mi><mspace linebreak="newline"/><mi>t</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>o</mi><mo> </mo><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>t</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_function"><param name="name">fc</param><param name="notevaluate">false</param></assertion></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Frenado Un coche circula por una autopista con una velocidad de #vi Km/h. Ve un obstáculo y frena en #di m. Calcula:

Aceleración en m/s².
Tiempo de frenado en segundos.

]]> 1.0000000 0.3333333 0 0 aceleración = #atiempo = #t]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>di</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mn>40</mn><mo>,</mo><mn>80</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vi</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>90</mn><mo>,</mo><mn>130</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vms</mi><mo>=</mo><mi>vi</mi><mo>/</mo><mn>3</mn><mo>.</mo><mn>6</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo>-</mo><msup><mi>vms</mi><mn>2</mn></msup><mo>/</mo><mo>(</mo><mn>2</mn><mo>*</mo><mi>di</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mo>-</mo><mi>vms</mi><mo>/</mo><mi>a</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>gx</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>fc</mi><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo><mo>:</mo><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">begin</csymbol><mtable><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mo>(</mo><mfenced close="|" open="|"><mrow><mo>(</mo><mi>x</mi><mo>-</mo><mi>a</mi><mo>)</mo><mo>/</mo><mi>a</mi></mrow></mfenced><mo><</mo><mn>0</mn><mo>.</mo><mn>02</mn><mo>)</mo></mrow><mrow><mi>gx</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></apply></mtd></mtr><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mo>(</mo><mfenced close="|" open="|"><mrow><mo>(</mo><mi>y</mi><mo>-</mo><mi>t</mi><mo>)</mo><mo>/</mo><mi>t</mi></mrow></mfenced><mo><</mo><mn>0</mn><mo>.</mo><mn>02</mn><mo>)</mo></mrow><mrow><mi>gx</mi><mo>=</mo><mi>gx</mi><mo> </mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></apply></mtd></mtr><mtr><mtd><mi>devolver</mi><mo> </mo><mi>gx</mi></mtd></mtr></mtable></apply></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>a</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>ó</mi><mi>n</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>a</mi><mspace linebreak="newline"/><mi>t</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>o</mi><mo> </mo><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>t</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_function"><param name="name">fc</param><param name="notevaluate">false</param></assertion></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 1º BACHILLERATO/FÍSICA/CINEMÁTICA/MOVIMIENTOS RECTILÍNEOS/PERSECUCIONES Persecución Un móvil circula con una velocidad de #v1 m/s. #t1 segundos más tarde y desde el mismo punto de partida, sale otro en su persecución con una velocidad de #v2 m/s. Calcula:

¿Qué distancia, en metros, habrá recorrido el primer móvil cuando se encuentren?
¿Cuánto tiempo habrá estado circulando el primer móvil?

]]> 1.0000000 0.3333333 0 0 distancia = #ditiempo = #t]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>20</mn><mo>,</mo><mn>60</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>incre</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>10</mn><mo>,</mo><mn>25</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v2</mi><mo>=</mo><mi>v1</mi><mo>+</mo><mi>incre</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>12</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>di1</mi><mo>=</mo><mi>v1</mi><mo>*</mo><mi>t1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><mi>v2</mi><mo>*</mo><mi>t1</mi><mo>/</mo><mi>incre</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>di</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><mi>v1</mi><mo>*</mo><mi>t</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">s</mi><mi>t</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>a</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>d</mi><mi mathvariant="normal">i</mi><mspace linebreak="newline"/><mi>t</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>o</mi><mo> </mo><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>t</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Persecución (II) Un móvil circula con una velocidad de #v1 m/s desde un punto A. Al mismo tiempo, desde un punto B situado #d1 metros más atrás, sale otro en su persecución con una velocidad de #v2 m/s. Calcula:

¿Qué distancia, en metros, habrá recorrido el primer móvil cuando se encuentren?
¿Cuánto tiempo habrá estado circulando el primer móvil?

]]> 1.0000000 0.3333333 0 0 distancia = #ditiempo = #t]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>20</mn><mo>,</mo><mn>60</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>incre</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>10</mn><mo>,</mo><mn>25</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v2</mi><mo>=</mo><mi>v1</mi><mo>+</mo><mi>incre</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>50</mn><mo>,</mo><mn>120</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><mi>d1</mi><mo>/</mo><mi>incre</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>di</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><mi>v1</mi><mo>*</mo><mi>t</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">s</mi><mi>t</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>a</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>d</mi><mi mathvariant="normal">i</mi><mspace linebreak="newline"/><mi>t</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>o</mi><mo> </mo><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>t</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Persecución (II) Un móvil circula con una velocidad de #v1 m/s desde un punto A. Al mismo tiempo, desde un punto B situado #d1 metros más atrás, sale otro en su persecución con una velocidad de #v2 m/s. Calcula:

¿Qué distancia, en metros, habrá recorrido el primer móvil cuando se encuentren?
¿Cuánto tiempo habrá estado circulando el primer móvil?

]]> 1.0000000 0.3333333 0 0 distancia = #ditiempo = #t]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>20</mn><mo>,</mo><mn>60</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>incre</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>10</mn><mo>,</mo><mn>25</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v2</mi><mo>=</mo><mi>v1</mi><mo>+</mo><mi>incre</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>50</mn><mo>,</mo><mn>120</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><mi>d1</mi><mo>/</mo><mi>incre</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>di</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><mi>v1</mi><mo>*</mo><mi>t</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">s</mi><mi>t</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>a</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>d</mi><mi mathvariant="normal">i</mi><mspace linebreak="newline"/><mi>t</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>o</mi><mo> </mo><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>t</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Persecución (III) Un móvil circula con una velocidad de #v1 m/s desde un punto A. #t1 segundos más tarde, desde un punto B situado #d1 metros más atrás, sale otro en su persecución con una velocidad de #v2 m/s. Calcula:

¿Qué distancia, en metros, habrá recorrido el primer móvil cuando se encuentren?
¿Cuánto tiempo habrá estado circulando el primer móvil?

]]> 1.0000000 0.3333333 0 0 distancia = #ditiempo = #t]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>20</mn><mo>,</mo><mn>60</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>incre</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>10</mn><mo>,</mo><mn>25</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v2</mi><mo>=</mo><mi>v1</mi><mo>+</mo><mi>incre</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>50</mn><mo>,</mo><mn>120</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>id1</mi><mo>=</mo><mi>t1</mi><mo>*</mo><mi>v1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><mo>(</mo><mi>id1</mi><mo>+</mo><mi>d1</mi><mo>)</mo><mo>/</mo><mi>incre</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mi>t2</mi><mo>+</mo><mi>t1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>di</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><mi>v1</mi><mo>*</mo><mi>t</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">s</mi><mi>t</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>a</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>d</mi><mi mathvariant="normal">i</mi><mspace linebreak="newline"/><mi>t</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>o</mi><mo> </mo><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>t</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Persecución (III) acelerado Un móvil circula con una velocidad de #v1 m/s desde un punto A. Al mismo tiempo, desde un punto B situado #d1 metros más atrás, sale otro en su persecución con una velocidad de #v2 m/s y una aceleración #a m/s². Calcula:

¿Qué distancia, en metros, habrá recorrido el primer móvil cuando se encuentren?
¿Cuánto tiempo habrá estado circulando el primer móvil?

]]> 1.0000000 0.3333333 0 0 distancia = #ditiempo = #t]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>20</mn><mo>,</mo><mn>60</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>incre</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>10</mn><mo>,</mo><mn>25</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v2</mi><mo>=</mo><mi>v1</mi><mo>+</mo><mi>incre</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>50</mn><mo>,</mo><mn>120</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>raiz1</mi><mo>=</mo><msqrt><mrow><msup><mi>incre</mi><mn>2</mn></msup><mo>+</mo><mo>(</mo><mn>2</mn><mo>*</mo><mi>a</mi><mo>*</mo><mi>d1</mi><mo>)</mo></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><mo>(</mo><mo>-</mo><mi>incre</mi><mo>+</mo><mi>raiz1</mi><mo>)</mo><mo>/</mo><mi>a</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>di</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><mi>v1</mi><mo>*</mo><mi>t</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">s</mi><mi>t</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>a</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>d</mi><mi mathvariant="normal">i</mi><mspace linebreak="newline"/><mi>t</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>o</mi><mo> </mo><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>t</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units">m, s, g, °, ', "</param><param name="decimalseparators">., \,</param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option><option name="answer_parameter">true</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Persecución al encuentro (I) Dos móviles A y B salen simultáneamente de dos puntos que distan #d1 metros uno al encuentro de otro con velocidades #v1 y #v2 m/s respectivamente. Calcula:

¿A qué distancia de A, en metros, se encuentran?
¿Cuánto tiempo habrá estado circulando?

]]> 1.0000000 0.3333333 0 0 distancia = #ditiempo = #t]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>20</mn><mo>,</mo><mn>60</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>incre</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>10</mn><mo>,</mo><mn>25</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v2</mi><mo>=</mo><mi>v1</mi><mo>+</mo><mi>incre</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>500</mn><mo>,</mo><mn>1200</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><mi>d1</mi><mo>/</mo><mo>(</mo><mi>v1</mi><mo>+</mo><mi>v2</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>di</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><mi>v1</mi><mo>*</mo><mi>t</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">s</mi><mi>t</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>a</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>d</mi><mi mathvariant="normal">i</mi><mspace linebreak="newline"/><mi>t</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>o</mi><mo> </mo><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>t</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Persecución al encuentro (II) Dos móviles A y B salen de dos puntos que distan #d1 metros uno al encuentro de otro con velocidades #v1 y #v2 m/s respectivamente. Si A sale #t1 segundos antes que B, calcula:

¿A qué distancia de A, en metros, se encuentran?
¿Cuánto tiempo habrá estado circulando A?

]]> 1.0000000 0.3333333 0 0 distancia = #ditiempo = #t2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>20</mn><mo>,</mo><mn>60</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>incre</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>10</mn><mo>,</mo><mn>25</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v2</mi><mo>=</mo><mi>v1</mi><mo>+</mo><mi>incre</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>500</mn><mo>,</mo><mn>1200</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><mo>(</mo><mi>d1</mi><mo>-</mo><mo>(</mo><mi>v1</mi><mo>*</mo><mi>t1</mi><mo>)</mo><mo>)</mo><mo>/</mo><mo>(</mo><mi>v1</mi><mo>+</mo><mi>v2</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>=</mo><mi>t</mi><mo>+</mo><mi>t1</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>di</mi><mo>=</mo><mn>1</mn><mo>.</mo><mn>0</mn><mo>*</mo><mi>v1</mi><mo>*</mo><mi>t2</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>d</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">s</mi><mi>t</mi><mi>a</mi><mi>n</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>a</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>d</mi><mi mathvariant="normal">i</mi><mspace linebreak="newline"/><mi>t</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>o</mi><mo> </mo><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>t</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> 1º BACHILLERATO/FÍSICA/CINEMÁTICA/MOVIMIENTOS RECTILÍNEOS/SUBIDA Y CAÍDA LIBRE Desde el fondo de un pozo Desde el fondo de un pozo de #hp m de profundidad lanzamos un objeto hacia arriba con una velocidad de #vi m/s. Calcula a qué altura, en metros, estará sobre la superficie del suelo cuando se mueve a #vf m/s

]]> 1.0000000 0.3333333 0 0 #h <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>hp</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>6</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vi</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>20</mn><mo>,</mo><mn>40</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vf</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>9</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>h</mi><mo>=</mo><mo>-</mo><mo>(</mo><mo>(</mo><mi>vf</mi><mo>*</mo><mi>vf</mi><mo>-</mo><mi>vi</mi><mo>*</mo><mi>vi</mi><mo>)</mo><mo>/</mo><mn>19</mn><mo>.</mo><mn>6</mn><mo>)</mo><mo>-</mo><mi>hp</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#h</correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.02))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Subida libre Lanzamos un cuerpo hacia arriba desde un balcón a #hi metros con una velocidad de #vi m/s. Calcula:

Su posición al cabo de #t segundos.
Su velocidad en ese instante

]]> 1.0000000 0.3333333 0 0 altura sobre el suelo = #p1velocidad = #v2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>hi</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mn>25</mn><mo>,</mo><mn>48</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vi</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>6</mn><mo>,</mo><mn>30</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p1</mi><mo>=</mo><mi>hi</mi><mo>+</mo><mo>(</mo><mi>vi</mi><mo>*</mo><mi>t</mi><mo>)</mo><mo>-</mo><mo>(</mo><mn>4</mn><mo>.</mo><mn>9</mn><mo>*</mo><msup><mi>t</mi><mn>2</mn></msup><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v2</mi><mo>=</mo><mi>vi</mi><mo>-</mo><mo>(</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>t</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mi>l</mi><mi>t</mi><mi>u</mi><mi>r</mi><mi>a</mi><mo> </mo><mi mathvariant="normal">s</mi><mi>o</mi><mi>b</mi><mi>r</mi><mi mathvariant="normal">e</mi><mo> </mo><mi mathvariant="normal">e</mi><mi>l</mi><mo> </mo><mi mathvariant="normal">s</mi><mi>u</mi><mi mathvariant="normal">e</mi><mi>l</mi><mi>o</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>p</mi><mn>1</mn><mspace linebreak="newline"/><mi>v</mi><mi mathvariant="normal">e</mi><mi>l</mi><mi>o</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>d</mi><mi>a</mi><mi>d</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>v</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units">m, s, g, °, ', "</param><param name="decimalseparators">., \,</param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option><option name="answer_parameter">true</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Subida libre Lanzamos un cuerpo hacia arriba desde un balcón a #hi metros con una velocidad de #vi m/s. Calcula:

Su posición al cabo de #t segundos.
Su velocidad en ese instante

]]> 1.0000000 0.3333333 0 0 altura sobre el suelo = #p1velocidad = #v2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>hi</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mn>25</mn><mo>,</mo><mn>48</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vi</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>6</mn><mo>,</mo><mn>30</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p1</mi><mo>=</mo><mi>hi</mi><mo>+</mo><mo>(</mo><mi>vi</mi><mo>*</mo><mi>t</mi><mo>)</mo><mo>-</mo><mo>(</mo><mn>4</mn><mo>.</mo><mn>9</mn><mo>*</mo><msup><mi>t</mi><mn>2</mn></msup><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v2</mi><mo>=</mo><mi>vi</mi><mo>-</mo><mo>(</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>t</mi><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mi>l</mi><mi>t</mi><mi>u</mi><mi>r</mi><mi>a</mi><mo> </mo><mi mathvariant="normal">s</mi><mi>o</mi><mi>b</mi><mi>r</mi><mi mathvariant="normal">e</mi><mo> </mo><mi mathvariant="normal">e</mi><mi>l</mi><mo> </mo><mi mathvariant="normal">s</mi><mi>u</mi><mi mathvariant="normal">e</mi><mi>l</mi><mi>o</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>p</mi><mn>1</mn><mspace linebreak="newline"/><mi>v</mi><mi mathvariant="normal">e</mi><mi>l</mi><mi>o</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>d</mi><mi>a</mi><mi>d</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>v</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units">m, s, g, °, ', "</param><param name="decimalseparators">., \,</param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option><option name="answer_parameter">true</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Subida libre Lanzamos un cuerpo desde un balcón a #hi metros con una velocidad de #vi m/s. Calcula el tiempo, en segundos, que tardaría en llegar al suelo si:

Lo lanzamos hacia arriba.
Lo lanzamos hacia abajo.

]]> 1.0000000 0.3333333 0 0 tiempo 1 = #t1tiempo 2 = #t2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>hi</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mn>8</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vi</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>6</mn><mo>,</mo><mn>30</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>raiz1</mi><mo>=</mo><msqrt><mrow><msup><mi>vi</mi><mn>2</mn></msup><mo>+</mo><mo>(</mo><mn>19</mn><mo>.</mo><mn>6</mn><mo>*</mo><mi>hi</mi><mo>)</mo></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mo>(</mo><mi>vi</mi><mo>+</mo><mi>raiz1</mi><mo>)</mo><mo>/</mo><mn>9</mn><mo>.</mo><mn>8</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>=</mo><mo>(</mo><mo>-</mo><mi>vi</mi><mo>+</mo><mi>raiz1</mi><mo>)</mo><mo>/</mo><mn>9</mn><mo>.</mo><mn>8</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>gx</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>fc</mi><mo>(</mo><mi>x</mi><mo>,</mo><mi>y</mi><mo>)</mo><mo>:</mo><mo>=</mo><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">begin</csymbol><mtable><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mo>(</mo><mfenced close="|" open="|"><mrow><mo>(</mo><mi>x</mi><mo>-</mo><mi>t1</mi><mo>)</mo><mo>/</mo><mi>t1</mi></mrow></mfenced><mo><</mo><mn>0</mn><mo>.</mo><mn>02</mn><mo>)</mo></mrow><mrow><mi>gx</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></apply></mtd></mtr><mtr><mtd><apply><csymbol definitionURL="http://www.wiris.com/XML/csymbol">if</csymbol><mrow><mo>(</mo><mfenced close="|" open="|"><mrow><mo>(</mo><mi>y</mi><mo>-</mo><mi>t2</mi><mo>)</mo><mo>/</mo><mi>t2</mi></mrow></mfenced><mo><</mo><mn>0</mn><mo>.</mo><mn>02</mn><mo>)</mo></mrow><mrow><mi>gx</mi><mo>=</mo><mi>gx</mi><mo> </mo><mo>+</mo><mn>0</mn><mo>.</mo><mn>5</mn></mrow></apply></mtd></mtr><mtr><mtd><mi>devolver</mi><mo> </mo><mi>gx</mi></mtd></mtr></mtable></apply></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>o</mi><mo> </mo><mn>1</mn><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>t</mi><mn>1</mn><mspace linebreak="newline"/><mi>t</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>o</mi><mo> </mo><mn>2</mn><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>t</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units">m, s, g, °, ', "</param><param name="decimalseparators">., \,</param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option><option name="answer_parameter">true</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Subida libre balcón Lanzamos un cuerpo desde un balcón a #hi metros con una velocidad de #vi m/s. Calcula el tiempo, en segundos, que tardaría en llegar al suelo si:

Lo lanzamos hacia arriba.
Lo lanzamos hacia abajo.

]]> 1.0000000 0.3333333 0 0 tiempo 1 = #t1tiempo 2 = #t2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>hi</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mn>8</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vi</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>6</mn><mo>,</mo><mn>30</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>raiz1</mi><mo>=</mo><msqrt><mrow><msup><mi>vi</mi><mn>2</mn></msup><mo>+</mo><mo>(</mo><mn>19</mn><mo>.</mo><mn>6</mn><mo>*</mo><mi>hi</mi><mo>)</mo></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mo>(</mo><mi>vi</mi><mo>+</mo><mi>raiz1</mi><mo>)</mo><mo>/</mo><mn>9</mn><mo>.</mo><mn>8</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>=</mo><mo>(</mo><mo>-</mo><mi>vi</mi><mo>+</mo><mi>raiz1</mi><mo>)</mo><mo>/</mo><mn>9</mn><mo>.</mo><mn>8</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>o</mi><mo> </mo><mn>1</mn><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>t</mi><mn>1</mn><mspace linebreak="newline"/><mi>t</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>o</mi><mo> </mo><mn>2</mn><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>t</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units">m, s, g, °, ', "</param><param name="decimalseparators">., \,</param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option><option name="answer_parameter">true</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Subida libre globo Lanzamos un cuerpo hacia arriba desde un globo a #hi metros con una velocidad de #v1 m/s. Calcula el tiempo, en segundos, que tardaría en llegar al suelo si el globo en ese momento:

Sube con #v2 m/s.
Baja con #v2 m/s.

]]> 1.0000000 0.3333333 0 0 tiempo 1 = #t1tiempo 2 = #t2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>hi</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mn>8</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v1</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>6</mn><mo>,</mo><mn>30</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v2</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vi1</mi><mo>=</mo><mi>v1</mi><mo>+</mo><mi>v2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vi2</mi><mo>=</mo><mi>v1</mi><mo>-</mo><mi>v2</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>raiz1</mi><mo>=</mo><msqrt><mrow><msup><mi>vi1</mi><mn>2</mn></msup><mo>+</mo><mo>(</mo><mn>19</mn><mo>.</mo><mn>6</mn><mo>*</mo><mi>hi</mi><mo>)</mo></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mo>(</mo><mi>vi1</mi><mo>+</mo><mi>raiz1</mi><mo>)</mo><mo>/</mo><mn>9</mn><mo>.</mo><mn>8</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>rai2</mi><mo>=</mo><msqrt><mrow><msup><mi>vi2</mi><mn>2</mn></msup><mo>+</mo><mo>(</mo><mn>19</mn><mo>.</mo><mn>6</mn><mo>*</mo><mi>hi</mi><mo>)</mo></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>=</mo><mo>(</mo><mi>vi2</mi><mo>+</mo><mi>rai2</mi><mo>)</mo><mo>/</mo><mn>9</mn><mo>.</mo><mn>8</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>o</mi><mo> </mo><mn>1</mn><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>t</mi><mn>1</mn><mspace linebreak="newline"/><mi>t</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>o</mi><mo> </mo><mn>2</mn><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>t</mi><mn>2</mn><mspace linebreak="newline"/></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units">m, s, g, °, ', "</param><param name="decimalseparators">., \,</param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option><option name="answer_parameter">true</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Subida libre pozo Lanzamos un cuerpo hacia arriba desde el borde de un pozo de #hi metros de profundidad con una velocidad de #vi m/s. Calcula:

El tiempo en segundos necesario para alcanzar su altura máxima.
El tiempo, en segundos, que tardaría en caer al suelo, en el fondo del pozo

]]> 1.0000000 0.3333333 0 0 tiempo = #t1tiempo = #t2]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>hi</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mn>25</mn><mo>,</mo><mn>48</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vi</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>20</mn><mo>,</mo><mn>40</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>3</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mi>vi</mi><mo>/</mo><mn>9</mn><mo>.</mo><mn>8</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>raiz1</mi><mo>=</mo><mo>-</mo><msqrt><mrow><msup><mi>vi</mi><mn>2</mn></msup><mo>+</mo><mo>(</mo><mn>2</mn><mo>*</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>hi</mi><mo>)</mo></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t2</mi><mo>=</mo><mo>(</mo><mi>vi</mi><mo>-</mo><mi>raiz1</mi><mo>)</mo><mo>/</mo><mn>9</mn><mo>.</mo><mn>8</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>o</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>t</mi><mn>1</mn><mspace linebreak="newline"/><mi>t</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>o</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>t</mi><mn>2</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units">m, s, g, °, ', "</param><param name="decimalseparators">., \,</param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option><option name="answer_parameter">true</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Subida libre se deja caer desde azotea Desde una azotea situada a #hi metros de altura se nos cae un objeto a la calle. Calcula:

El tiempo, en segundos, que tarda en llegar al suelo.
Su velocidad en ese instante

]]> 1.0000000 0.3333333 0 0 Tiempo de caida= #t1velocidad = #v1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>hi</mi><mo>=</mo><mo> </mo><mi>aleatorio</mi><mo>(</mo><mn>25</mn><mo>,</mo><mn>48</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v1</mi><mo>=</mo><msqrt><mrow><mn>19</mn><mo>.</mo><mn>6</mn><mo>*</mo><mi>hi</mi></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi><mo>=</mo><mi>v1</mi><mo>/</mo><mn>9</mn><mo>.</mo><mn>8</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>T</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>o</mi><mo> </mo><mi>d</mi><mi mathvariant="normal">e</mi><mo> </mo><mi>c</mi><mi>a</mi><mi mathvariant="normal">i</mi><mi>d</mi><mi>a</mi><mo>=</mo><mo> </mo><mo>#</mo><mi>t</mi><mn>1</mn><mspace linebreak="newline"/><mi>v</mi><mi mathvariant="normal">e</mi><mi>l</mi><mi>o</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>d</mi><mi>a</mi><mi>d</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>v</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units">m, s, g, °, ', "</param><param name="decimalseparators">., \,</param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option><option name="answer_parameter">true</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Subida libre suelo Lanzamos un cuerpo desde el suelo con una velocidad de #vi m/s. Calcula:

El tiempo, en segundos, que tardaría en volver al suelo.
La altura máxima que alcanzaría, en metros.

]]> 1.0000000 0.3333333 0 0 Tiempo= #tAltura = #y1]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>vi</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>30</mn><mo>,</mo><mn>50</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t</mi><mo>=</mo><mi>vi</mi><mo>/</mo><mn>4</mn><mo>.</mo><mn>9</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>y1</mi><mo>=</mo><msup><mi>vi</mi><mn>2</mn></msup><mo>/</mo><mn>19</mn><mo>.</mo><mn>6</mn></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>T</mi><mi mathvariant="normal">i</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">m</mi><mi>p</mi><mi>o</mi><mo>=</mo><mo> </mo><mo>#</mo><mi>t</mi><mspace linebreak="newline"/><mi>A</mi><mi>l</mi><mi>t</mi><mi>u</mi><mi>r</mi><mi>a</mi><mo> </mo><mo>=</mo><mo> </mo><mo>#</mo><mi>y</mi><mn>1</mn></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units">m, s, g, °, ', "</param><param name="decimalseparators">., \,</param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option><option name="answer_parameter">true</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>