Coefficient of restitution and heights

Questions

1. For what coefficient of restitution does the body rebound back to the same height.

2. For what coefficient of restitution does the body rebound back to 1/4^th the previous height.

Note :

Questions given above may be visualized and solved using the simulations, obtaining a mathematical solution is to be always treated as the final answer.

Such a mathematical solution implies that you are able to understand and apply the concept.

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