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AP Calculus BC/Unit 8: Applications of Integration
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Total Distance Traveled From Velocity

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An object moves with velocity v(t)=t−5v(t) = t - 5. Which of the following definite integrals represents the total distance traveled by the object from t=0t=0 to t=10t=10?

A

∫010∣t−5∣ dt\int_{0}^{10} |t - 5|\,dt

B

∫010(t−5) dt\int_{0}^{10} (t - 5)\,dt

C

∣∫010(t−5) dt∣\left|\int_{0}^{10} (t - 5)\,dt\right|

D

110∫010(t−5) dt\frac{1}{10}\int_{0}^{10} (t - 5)\,dt

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