During a certain time interval, the angular position of a swinging door is described by $=4\mathrm{.}93+10\mathrm{.}3$t $+1\mathrm{.}99$t$2,$ where is in radians and t is in seconds. Determine the angular position, angular speed, and angular acceleration of the door at the following times.$($a$)$ t $=0=$ rad$=$ rad$/$s$=$ rad$/$s$2($b$)$ t $=3\mathrm{.}08$ s$=$ rad$=$ rad$/$s$=$ rad$/$s$2$