During a certain period of time, the angular position of a swinging door is described by $\theta=5.00+10.0 t+2.00 t^{2},$ where $\theta$ is in radians and $t$ is in seconds. Determine the angular position, angular speed, and angular acceleration of the door $(a)$ at $t=0$ and $(b)$ at $t=3.00 \mathrm{s}$ .