Let's look at another example. A ball rolls down a hill at a constant angular acceleration of $0\mathrm{.}300$ rad$/$s$2.$ The ball has an initial angular speed of $1\mathrm{.}50$ rad$/$s$.$

After $15\mathrm{.}0$ s$,$ what is the angular speed $($in rad$/$s$)$ of the ball?

$$ Great! You correctly determined the angular speed using the change in equations and the given acceleration and time rad$/$s

What is the angular displacement $($in rad$)$ of the ball after the $15\mathrm{.}0$ s$?$

$$ Great! You correctly determined the angular displacement using the change in equations and the given acceleration, initial speed and time rad

How long does it take for the ball to complete $10\mathrm{.}0$ rotations? Assume it continues at a constant acceleration. $($Enter your answer in s$.)$

$$ Incorrect. You could first determine the angular displacement by multiplying $10\mathrm{.}0$ rotations at $2$ radians and then solve for the angular speed and time. s