$$ $$ $$ $$ $$ $$ $$ $$ $$ $\text{Extra close brace or missing open brace}$ $\text{Extra close brace or missing open brace}$ $$

Velocity and Acceleration

The maximum velocity of a block on a spring is $$v_{max}=2\pi Af$$ where $A$ is its amplitude and $f$ is its frequency. It occurs when the block is at its equilibrium point.

The maximum acceleration of a block on a spring is $$a_{max}=4{\pi }^2{f}^{2}A$$ and occurs at the block's turning points.