4t ESO/4.04 EQUACIONS/4.04.2 Equació 2n grau/4.04.2.5 Aplicacions E2G 4.04.2.5.21Q MRUA

En una carretera rectilínia, arriba un cotxe amb una velocitat de #v1 m/s a l'instant 0. Si la seva acceleració és constant i és de #a1 m/s², quant trigarà a recórrer #x1 km?

Format: segons arrodonits a la unitat

]]> 1.0000000 0.5000000 0 0 #sol <question><wirisCasSession><![CDATA[<session lang="ca" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="ca">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable><mtr><mtd><mi>v1</mi><mo>=</mo><mfrac><mrow><mi>aleatori</mi><mo>(</mo><mn>30</mn><mo>,</mo><mn>50</mn><mo>)</mo></mrow><mn>10</mn></mfrac><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></mtd></mtr><mtr><mtd><mi>v2</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>25</mn><mo>,</mo><mn>35</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>t1</mi><mo>=</mo><mi>aleatori</mi><mo>(</mo><mn>20</mn><mo>,</mo><mn>50</mn><mo>)</mo></mtd></mtr><mtr><mtd><mi>a1</mi><mo>=</mo><mfrac><mrow><mi>v2</mi><mo>-</mo><mi>v1</mi></mrow><mi>t1</mi></mfrac></mtd></mtr></mtable></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi><mo>=</mo><mfrac><mrow><mi>a1</mi><mo>*</mo><msup><mi>t1</mi><mn>2</mn></msup></mrow><mn>2</mn></mfrac><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>sol</mi><mo>=</mo><mi>arrodoneix</mi><mo> </mo><mo>(</mo><mi>x1</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>R</mi><mo>=</mo><mi>resol</mi><mfenced><mrow><mi>a1</mi><mo>*</mo><msup><mi>t</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><mo>*</mo><mi>v1</mi><mo>*</mo><mi>t</mi><mo>-</mo><mn>2</mn><mo>*</mo><mi>x1</mi><mo>=</mo><mn>0</mn></mrow></mfenced></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>v1</mi><mo>,</mo><mi>v2</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>4.</mn><mo>,</mo><mn>33</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>t1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>32</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0.90625</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>592.</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>sol</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>592</mn></math></output></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>R</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>t</mi><mo>=</mo><mo>-</mo><mn>40.828</mn></mtd></mtr></mtable></mfenced><mo>,</mo><mfenced close="}" open="{"><mtable align="center"><mtr><mtd><mi>t</mi><mo>=</mo><mn>32.</mn></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></mfenced></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#sol</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></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="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> t és la solució positiva de l'equació:

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