Question

The angular position of a swinging door is described by θ(t)= (5.00+ 2.00t²) rad

Determine the angular position, angular speed, and angular acceleration of the door at t=3.0s.

Answer 1

$\theta(t)=5+2t^2,$

$\theta(3)=23,$

$\dot \theta(t)=4t,$

$\dot \theta(3)=12,$

$\ddot \theta(t)=4,$

$\ddot \theta(3)=4.$