# Bungee jumping

A bungee jumper jumps from a bridge with a $$3~\mbox{m}$$ long bungee cord. Once the cord starts to stretch, it acts like an ideal spring with coefficient of elasticity $$k = 100~\mbox{N/m}$$. What should be the minimum height of the bridge in m so that this jump is safe for the jumper?

Details and assumptions

• The jumper has a mass of $$80~\mbox{kg}$$.
• The acceleration of gravity is $$-9.8~\mbox{m/s}^2$$.
• There are at least two ways to solve this problem.
• Treat the jumper as a point mass at the end of the cord.
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