A wheel, starting from rest, rotates with a constant angular acceleration of $1\mathrm{.}60$ rad$/$s$.$ During a certain $9\mathrm{.}00$ s interval, it turns:

through $82\mathrm{.}8$ rad. $($a$)$ How long had the wheel been turning before the start of the $9\mathrm{.}00$ s interval? $($b$)$ What was the angular

velocity of the wheel at the start of the $9\mathrm{.}00$s interval? ~~