During a certain time interval, the angular position of a swinging door is described by $=4\mathrm{.}96+10\mathrm{.}5$t $+1\mathrm{.}98$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 $=2\mathrm{.}92$ s

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