\(\def \u#1{\,\mathrm{#1}}\) \(\def \abs#1{\left|#1\right|}\) \(\def \ast{*}\) \(\def \deg{^{\circ}}\) \(\def \redcancel#1{{\color{red}\cancel{#1}}}\) \(\def \BLUE#1{{\color{blue} #1}}\) \(\def \RED#1{{\color{red} #1}}\) \(\def \PURPLE#1{{\color{purple} #1}}\) \(\def \th#1,#2{#1,\!#2}\) \(\def \lshift#1#2{\underset{\Leftarrow\atop{#2}}#1}}\) \(\def \rshift#1#2{\underset{\Rightarrow\atop{#2}}#1}}\) \(\def \dotspot{{\color{lightgray}{\circ}}}\)
Chapter 9: Oscillations
6.

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 $$a_{\max}=4\pi^2f^2A$$ and occurs at the block's turning points.