3. a) A ball has an angular velocity of 1s 0.5 rad−1counterclockwise. Some time later, after rotating through a total angle of 4.5 radians, the ball has an angular velocity of 1s 5.1 rad−1 clockwise. Determine the angular acceleration, the average angular velocity and how much time it takes for the ball to attain this velocity.
b) When a high diver wants to execute a flip in midair, she draws her legs up against her chest. Why does this make her rotate faster? What should she do when she wants to come out of her flip?
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