Difficult# Acceleration of a Harmonic Oscillator

CLMECH-GHU6XY

We can model the up and down motion of a piston in an engine as a harmonic oscillator with its position described by:

$$y(t) = \frac{d}{2}\sin(2\pi f t)$$

...where $f$ is the oscillation frequency (in units of 1/sec) and $d$ is the total distance from the bottom of its motion to the top.

What is the acceleration of this piston (mark **ALL** that apply)?