I. Describing Simple Harmonic Motion $(6$p$)$

You want to study simple harmonic motion using an air track with a $180$ g glider and a spring.

First, you measure the spring constant: When you extend the length of the spring by $25$ cm $,$ a force sensor measures $4\mathrm{.}0$ N $.$ You observe also that the force measured is proportional to the displacement of the spring from its equilibrium length.

You now attach one end of the spring to a fixed bracket on the air track and the other to the air glider. You pull the glider to the right, thereby extending the spring by $32$ cm $,$ and release it from rest.

I.I Calculate The maximum speed of the glider