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Could you explain how conservation of energy (or KE or PE concepts) works when a person...

Could you explain how conservation of energy (or KE or PE concepts) works when a person jumping onto a trampoline? Any concepts related to physics is fine!!
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When person jumps into tranpoline it's kinetic energy ( that is due to speed ) will compresses the trampoline downward and will be stored as a potential energy of trampoline ( same as in bow and arrow) and after this person will move up and all the potential energy which was stored in trampoline ll convert into kinectk energy and person will jump higher and this goes on .

So total energy will be conserve all the time may be in form of kinetic energy or potential energy . And these energy keep on transferring from one form to another form ( i.e KE to PE or PE to KE)

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