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AP Physics 1/Unit 1 – Kinematics
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Acceleration from Position Function

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The position of a particle moving along the x-axis is given by x(t)=4sin⁡(πt)x(t) = 4\sin(\pi t), where xx is in meters and tt is in seconds. What is the instantaneous acceleration of the particle at t=0.25t = 0.25 s?

A

−4m/s2-4 m/s^{2}

B

−2π22 m/s2-2\pi^2\sqrt{2}\ \text{m/s}^2

C

4π m/s24\pi\ \text{m/s}^2

D

0 m/s²

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