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# 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

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