$1.$ A wheel $1\mathrm{.}0$ m in diameter rotates with an angular acceleration of $4\mathrm{.}0$ rad$/$s$2.($a$)$ If the wheel$$s initial angular velocity is $2\mathrm{.}0$ rad$/$s$,$ what is its angular velocity after $10$ s$?($b$)$ Through what angle does it rotate in the $10-$s interval? $($c$)$ What are the tangential speed and acceleration of a point on the rim of the wheel at the end of the $10-$s interval?