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AP® Physics C: Mechanics

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Moderate

Acceleration of a Particle Given $x(t)$

APPHMC-ET7TRN

A particle undergoing simple harmonic oscillation moves according to the equation:

$$ x(t) = A \cos (3t) $$

What is the acceleration of the particle as a function of time?

A

$ 9A \cos (3t) $

B

$ -9A \cos (3t) $

C

$ 9A \sin 3t $

D

$ -9A \sin (3t) $

E

$ -9A^2 \sin(3t) $