When a tennis coach releases a tennis ball from a height of 2 m above the gym floor, it falls to the floor and bounces back to two-thirds the same height. When it is in contact with the floor, the lower side of the ball is temporarily flattened. Suppose the maximum depth of the dent is 1 cm. (Assume the positive direction is upward.)(a)Determine the acceleration of the ball (in m/s2) while it is in contact with the floor and compressing. (Indicate the direction with the sign of your answer.)m/s2(b)Determine the velocity of the ball (in m/s) as it leaves the floor on the rebound. (Indicate the direction with the sign of your answer.)m/s(c)What If? If instead of dropping the ball, the coach throws it down (from some unknown height) with such a speed that it bounces back up to a height three times its original height, determine the new acceleration of the ball (in m/s2) while in contact with the floor and expanding. (Indicate the direction with the sign of your answer.)m/s2

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Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

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When a tennis coach releases a tennis ball from a height of 2 m above the gym floor, it falls to the floor and bounces back to two-thirds the same height. When it is in contact with the floor, the lower side of the ball is temporarily flattened. Suppose the maximum depth of the dent is 1 cm. (Assume the positive direction is upward.)

(a)

Determine the acceleration of the ball (in m/s²) while it is in contact with the floor and compressing. (Indicate the direction with the sign of your answer.)

m/s²

(b)

Determine the velocity of the ball (in m/s) as it leaves the floor on the rebound. (Indicate the direction with the sign of your answer.)

m/s

(c)

What If? If instead of dropping the ball, the coach throws it down (from some unknown height) with such a speed that it bounces back up to a height three times its original height, determine the new acceleration of the ball (in m/s²) while in contact with the floor and expanding. (Indicate the direction with the sign of your answer.)

m/s²

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