An $8\mathrm{.}0$cmdiameter, $400$g solid sphere is released from rest at the top of a $2\mathrm{.}1$mlong, $25$ incline. It rolls, without slipping, to the bottom. $($a$)$ What is the sphere$$s angular velocity at the bottom of the incline? $($b$)$ What fraction of its kinetic energy is rotational? $($c$)$ How far does the sphere go in $3\mathrm{.}0$s$?$