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

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The velocity of a particle moving along the xx-axis is given by v(t)=t2−6t+8v(t) = t^2 - 6t + 8 for time t≥0t \geq 0. What is the total distance traveled by the particle from t=0t = 0 to t=3t = 3?

A

6

B

1

C

223\dfrac{22}{3}

D

203\dfrac{20}{3}

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