The angle 6 through which a disk drive turns is given by 6(t) = a + ht - ct3, where a, h, and c are constants, t is in seconds, and6isinradians. When t = 0,6 = ."./4 rad and the angular velocity is 2.00 rad/s, and when t = 1.50 s, the angular acceleration is 1.25 rad/s'. (a) Find a, h, and c, including their units.
(b) What is the angular acceleration when θ = π/4 rad?
(c) What are θ and the angular velocity when the angular acce1era1ion is 3.50 rad/s3?