Initially, a ball has an angular velocity of $ 5.0 $ $ \text{rad/s} $ counterclockwise. Some time later, after rotating through a total angle of $ 5.5 $ $ \text{radians} $, the ball has an angular velocity of $ 1.5 $ $ \text{rad/s} $ clockwise.

Question

Initially, a ball has an angular velocity of $ 5.0 $ $ \text{rad/s} $ counterclockwise. Some time later, after rotating through a total angle of $ 5.5 $ $ \text{radians} $, the ball has an angular velocity of $ 1.5 $ $ \text{rad/s} $ clockwise.(a) What is the angular acceleration? What is the average angular velocity? How much time did this take?
, (b) At some point the angular velocity of the ball had to have been zero. At what angle from its initial orientation did this occur and how long did it take?
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Jason · Accepted Answer

$-2.07 \, \text{rad/s}^2$
$1.75 \, \text{rad/s}$
$3.14 \, \text{s}$
$6.04 \, \text{rad}$
$2.42 \, \text{s}$

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