A flywheel has angular acceleration z (t) = 8.60 rad/s 2 (2.30 rads/s 3 )t, where counterclockwise rotation is positive. (a) If the

A flywheel has angular acceleration α_z(t) = 8.60 rad/s² – (2.30 rads/s³)t, where counterclockwise rotation is positive.

(a) If the flywheel is at rest at t = 0, what is its angular velocity at 5.00 s?

(b) Through what angle (in radians) does the flywheel turn in the time interval from t = 0 to t = 5.00 s?