A $0\mathrm{.}60$ kg object rests on a frictionless horizontal countertop, where it is attached to a massless spring whose k$-$value equals $21\mathrm{.}5$ N$/$m$.$ Let x be the displacement, where

x $=0$

is the equilibrium position and

x $>0$

when the spring is stretched. The object is pushed, and the spring compressed, until

xi $=4\mathrm{.}00$ cm$.$

It then is released from rest and undergoes simple harmonic motion.

$($a$)$

What is the object's maximum speed $($in m$/$s$)$ after it is released?

m$/$s

$($b$)$

How fast is the object moving $($in m$/$s$)$ when the spring is momentarily compressed by $1\mathrm{.}60$ cm $($that is$,$ when

x $=1\mathrm{.}60$ cm$)?$