Physics

Problem

The angular displacement of a carousel is given by

\theta = 5t + 2t^{2}

(in radians) where

t

is in seconds. a. (i) Determine its instantaneous angular velocity at

t = 3\,\text{s}

.{ b. (ii) Calculate its angular displacement between

t = 1\,\text{s}

and

t = 3\,\text{s}