Question

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.
What is the average angular velocity between t = 2.0 s and t =3.5 s?

Answer 1

Compute theta at t = 3.5 seconds and at t = 2.0 seconds. Divide the difference (the change in theta) by 1.5 seconds. The result will be the average angular velocity for that interval. It will depend upon the values of a, b and c.