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AP Physics C: Mechanics/Unit 1 – Kinematics
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Angle Between Velocity and Acceleration Vectors

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The position of a particle moving in the xy-plane is given by the vector r⃗(t)=(3t2−2t)i^+(4t3)j^ \vec{r}(t) = (3t^2 - 2t)\hat{i} + (4t^3)\hat{j} , where r⃗ \vec{r} is in meters and t t is in seconds. What is the angle between the particle’s velocity and acceleration vectors at time t=2 t = 2 s?

A

45°

B

0°

C

180°

D

90°

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