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AP Physics 1/Unit 1 – Kinematics
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Acceleration Vector from Position Functions

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The position of a particle moving in the xy-plane is given by the functions $$x(t) = 3t^2$$ and $$y(t) = 4t - 5t^2$$. What is the direction of the particle’s acceleration vector at $$t = 2$$ s, measured counterclockwise from the positive $$x$$-axis?

A

Directly opposite to the velocity vector

B

Perpendicular to the velocity vector

C

At an angle of 301° measured counterclockwise from +x

D

Directly toward the origin

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