each bounce should result in the ball returning to the same height from which it was initially dropped. Explain why the height of each subsequence bounce decreases, and why this does not violate the overall conservation of energy.

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Based on your measurements of vertical position vs time you should have noticed that the maximum height of the ball decreases with each subsequent bounce. A basic analysis of kinetic energy and gravitational potential energy conservation would imply that each bounce should result in the ball returning to the same height from which it was initially dropped.

Explain why the height of each subsequence bounce decreases, and why this does not violate the overall conservation of energy.

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