The angular acceleration of a rotating rigid body is given by $=(2\mathrm{.}03\mathrm{.}0$t$)$rad$/$s$2$$=(2\mathrm{.}03\mathrm{.}0$t$)$rad$/$s$2.$ If the body starts rotating from rest at t$=0$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 $00$ at t$=0$t$=0$ lie at t$=10$st$=10$s$?$