The angular acceleration of a wheel, as a function of time, is α = 5.0 t2 - 8.5 t, where α is in rad/s2 and t is in seconds. If the wheel starts from rest (θ = 0, ω = 0, at t = 0), determine a formula for a) the angular velocity ω as a function of time
b) the angular position θ as a function of time
c) evaluate ω at t = 4.0 s
d) evaluate θ at t = 4.0 s