What are the phases of a bungee jump?

A bungee jump has three phases. Phase 1 is free fall where the cord is slack and acceleration equals g. Phase 2 is bungee engaged where the stretched cord pulls back with force k times stretch. Phase 3 is the bounce where the jumper may rise above the cord natural length causing it to go slack again.

How do you calculate the lowest point of a bungee jump?

Use energy conservation. The gravitational PE lost equals the elastic PE gained: mg times L0 plus x_max equals one half k times x_max squared. Solve the quadratic for x_max then subtract from the platform height.

Bungee Jump Simulator — Free Fall + Spring Physics

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