The energy changes that happen during a bungee jump are:
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The idea of impulse-momentum is very key in bungee jumping. Sometimes someone will convince someone to do it, but they are still scared, and their impulse telling them to do it or not is important in driving them to jump.
Yes, e.g. gravity, mass, wind-resistance, elasticity, kinetic energy, thermal energy, periodic motion (pendulum) etc.
More details:
At the top of the bungee jump there is gravitational potential energy. As the bungee jumper falls, he gains kinetic energy. During the fall, energy is wasted as heat (thermal energy). As the bungee cord is stretched, it gains elastic potential energy.