A roller in a printing press turns through an angle (t} given by (t} = Yt2 -

Question:

A roller in a printing press turns through an angle θ(t} given by θ(t} = Yt2 - Bt, where Y = 3.20rad/s2 and p = 0.500 rad/s.
(a) Calculate the angular velocity of the roller as a function of time.
(b) Calculate the angular acceleration of the roller as a function of time.
(c) What is the maximum positive angular velocity, and at what value of t does it occur?