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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 $$x(t) = 4\sin(\pi t)$$, where $$x$$ is in meters and $$t$$ is in seconds. What is the instantaneous acceleration of the particle at $$t = 0.25$$ s?

A

$$-4 m/s²$$

B

$$4\pi\ \text{m/s}^2$$

C

0 m/s²

D

$$-2\pi^2\sqrt{2}\ \text{m/s}^2$$

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