A wheel has a constant angular acceleration of $4\mathrm{.}5$ rad$/$s$2.$ Starting from rest, it turns through $330$ rad.

$($a$)$

What is its final angular velocity $($in rad$/$s$)?($Enter the magnitude.$)$

$54\mathrm{.}4977$ rad$/$s

$($b$)$

How much time elapses $($in s$)$ while it turns through the $330$ radians?

$12\mathrm{.}11$ s