The angle through which a rotating wheel has turned in time (t) is given by theta=8.5t-15.0t^2+1.6t^4 where theta is in radians and (t) is in seconds. Determine an expression:
a) for instantaneous angular velocity (omega)
b) for instantaneous angular acceleration (alpha)
c) evaluate omega and alpha at t=3.0s
d) what is the average angular velocity?
e) what is the average angular acceleration between t-2.0s and t=3.0s