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A child swinging on a swingset with chains of length l wants to swing and jump...

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Advance Math

A child swinging on a swingset with chains of length l wants toswing and jump off the swing to get as far as possible. At whatangle ?_jump should the child let go of the swing to maximize thelanding distance? What is the distance jumped as a function of?_jump?

Results should be functions of ?_jump and variables/parameterswhich should be introduced as required.

Model swinging using simple pendulum and jumping usingprojectile motion. Note, the child is not being pushed.

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