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

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

Results should be functions of θ_jump and variables/parameters which should be introduced as required.

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

Expert Solution

Colby Messinger answered 9 months ago

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