The angular position of a point on the rim of a rotating wheel is given by θ = 4.0t - 3.0t² + t³, where θ is in radians and t is in seconds. What are the angular velocities at
a) t = 2.0 s and
b) t = 4.0 s?
c) What is the average angular acceleration for the time interval that begins at t = 2.0 s and ends at t = 4.0 s? What are the instantaneous angular accelerations at
d) the beginning and
e) the end of this time interval?