A wheel $1\mathrm{.}0$ m in radius 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$).$ How many revolutions does the wheel make?

$($d$)$ What are the tangential speed and acceleration of a point on

the rim of the wheel at the end of the $10-$s interval?

$20$