During a certain time interval, the angular position of a swinging door is described by $=5\mathrm{.}02+9\mathrm{.}3$t $+1\mathrm{.}94$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 $=3\mathrm{.}05$ s

$=$ rad $=$ rad$/$s $=$ rad$/$s$2$