10.8 Exercise 26

The angular acceleration of a rotating rigid body is given by $\alpha = \left(2.0 - 3.0 t\right) \text{rad} / \text{s}^{2}$. If the body starts rotating from rest at $t = 0$, (a) what is the angular velocity? (b) Angular position? (c) What angle does it rotate through in 10 s? (d) Where does the vector perpendicular to the axis of rotation indicating $0 °$ at $t = 0$ lie at $t = 10 \text{s}$?