Halliday, Resnick & Walker — Rotation: Problem Problem_8

The angular acceleration of a wheel is \(\alpha = 6.0t^4 - 4.0t^2\), with \(\alpha\) in radians per second-squared and \(t\) in seconds. At time \(t = 0\), the wheel has an angular velocity of \(+2.0 \text{ rad/s}\) and an angular position of \(+1.0 \text{ rad}\). Write expressions for (a) the angular velocity (rad/s) and (b) the angular position (rad) as functions of time (s).