Question $2.10$ Points

A $1\mathrm{.}60$ kg block is attached to a spring on a smooth horizontal surface with a force constant of $50\frac{N}{m},$ as shown. The spring is compressed a distance of $3\mathrm{.}50$ cm $,$ and the block is released from rest.

a$.$ Calculate the period of the block's oscillation.

b$.$ At what point$($s$)$ is the block moving the fastest?

c$.$ At what point$($s$)$ is the block moving the slowest?