Answer
(a) $\omega = 2.00~rad/s$
(b) $\theta = 4.38~rad$
Work Step by Step
(a) $\omega = \omega_0+\alpha~t$
$\omega = (1.50~rad/s)+(0.200~rad/s^2)(2.50~s)$
$\omega = 2.00~rad/s$
(b) $\theta = \omega_0~t+\frac{1}{2}~\alpha~t^2$
$\theta = (1.50~rad/s)(2.50~s)+\frac{1}{2}(0.200~rad/s^2)(2.50~s)^2$
$\theta = 4.38~rad$