Problem $3$: A wheel $1\mathrm{.}1$ m in radius rotates with an angular acceleration of $5\mathrm{.}2$ rad$/$s$^2.$

$($a$)$ If the wheel$$s initial angular velocity is $3\mathrm{.}0$ rad$/$s$,$ what is its angular velocity after $7$ s$?($b$)$ Through what angle does it rotate in the $7-$s interval? $($c$)$ What are the tangential speed and acceleration of a point on the rim of the wheel at the end of the $7-$s interval?