d. Determine a formula for hn in terms of h. e. Write an infinite series that represents the total distance traveled by the ball. Then determine the sum of this series. f. Next, let's determine the total amount of time the ball is in the air. i) When the ball is dropped from a height H, if we assume the only force acting on it is the acceleration due to gravity, then the height of the ball at time t is given by H 1 29t² Use this formula to determine the time it takes for the ball to hit the ground after being dropped from height H. ii) Use your work in the preceding item, along with that in (a)-(e) above to de- termine the total amount of time the ball is in the air.

d. Determine a formula for hn in terms of h. e. Write an infinite series that represents the total distance traveled by the ball. Then determine the sum of this series. f. Next, let's determine the total amount of time the ball is in the air. i) When the ball is dropped from a height H, if we assume the only force acting on it is the acceleration due to gravity, then the height of the ball at time t is given by H 1 29t² Use this formula to determine the time it takes for the ball to hit the ground after being dropped from height H. ii) Use your work in the preceding item, along with that in (a)-(e) above to de- termine the total amount of time the ball is in the air.

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter13: Universal Gravitation

Section: Chapter Questions

Problem 32AP

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