A $18\mathrm{.}3$ kg object on a horizontal frictionless surface is attached to a spring with k $=2410$ N$/$m$.$ The object is displaced from equilibrium $30\mathrm{.}6$ cm horizontally and given an initial velocity of $8\mathrm{.}96$ m$/$s back towards the equilibrium position. What are $($a$)$ the motion's frequency, $($b$)$ the initial potential energy of the block$-$spring system, $($c$)$ the initial kinetic energy, and $($d$)$ the motion's amplitude?