Answered: A child jumps up and down on a bed,…

A child jumps up and down on a bed, reaching a higher height after each bounce. Explain how the child can increase his maximum gravitational potential energy with each bounce.

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The class I'm taking is physics for scientists and engineers!

I am completely stuck. Need help. I have attached the problem. Please view attachment before answering. If you can please explain your answer so I can fully understand. Thank you!