A roller in a printing press turns through an angle θ(t) given by θ(t) = γt2 - βt3 , where γ = 3.20 rad/s2 and β = 0.500 rad/s3.
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?
d) At what value of t does it occur?