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 10 months ago

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