A small ball is released from rest from a point that is 40m above horizontal line ground. The ball bounces on the ground and rebounds vertically. Each time the ball bounces on the ground the speed of the ball is instantaneously reduced by 50%. The ball is modelled as a particle moving freely under gravity from the instant when it is released until it first hits the ground and between each successive bounce. Find the time from the instant when the ball is released from the rest to the instant when it hits the ground for the second time

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter6: Motion In Two Dimensions
Section: Chapter Questions
Problem 84A
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A small ball is released from rest from a point that is 40m above horizontal line ground. The ball bounces on the ground and rebounds vertically. Each time the ball bounces on the ground the speed of the ball is instantaneously reduced by 50%. The ball is modelled as a particle moving freely under gravity from the instant when it is released until it first hits the ground and between each successive bounce. Find the time from the instant when the ball is released from the rest to the instant when it hits the ground for the second time
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