The angle through which a rotating wheel has turned in time t is given by theta = a t - b t^2+ c t^4, where theta is in radians and t in seconds. Determine an expression for the instantaneous angular velocity omega if t is in seconds. Determine an expression for the instantaneous angular acceleration alpha if t is in seconds. If a = 8.0 rad/s, b = 13.0 rad/s^2, c = 1.5 rad/s^4, evaluate omega at t = 3.2 s. Evaluate alpha at t = 3.2 s. What is the average angular velocity between t = 2.0 s and t =3.2 s? What is the average angular acceleration between t = 2.0 s and t =3.2 s?