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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?
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)