Bounce speed vs height

80% rebound speed does not mean 80% rebound height.

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What fraction of height survives the first bounce?

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How it works & assumptions

After each impact, upward speed is e times downward speed. Bounce height and mechanical energy multiply by e². Free flight obeys y=y₀+v₀t−gt²/2.

Constant restitution, instantaneous impacts, no air drag. Animation shows the initial drop and eight rebound arcs.

This is an ideal mathematical model, not a measurement or a forecast.

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