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A basketball player is balancing a spinning basketball on the tip of his finger

Physics

A basketball player is balancing a spinning basketball on the tip of his finger. The angular velocity of the ball slows down from 18.5 to 14.1 rad/s. During the slow-down, the angular displacement is 85.1 rad. What is the time it takes for the ball to slow down?

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Assume the angular acceleration during the slow down period is constant.

the angle through during slow down = (w1+w2)*t/2

=>85.1=(18.5+14.1)*t/2

=>t=5.22 (s)