Simple Harmonic Motion · Paper 1 — Free Physics SL Practice Questions

A particle undergoes simple harmonic motion. The graph of acceleration $a$ against displacement $x$ is a straight line passing through the origin, described by $a = -\omega^2 x$, where $\omega = 4.0 \text{ rad s}^{-1}$. What is the gradient of this graph?

A particle undergoes simple harmonic motion with displacement $x = A\cos(\omega t)$. Which graph correctly shows the variation of acceleration $a$ with time $t$?