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How would a physicist explain, perhaps with the aid of a diagram, how kinetic energy in the knees is converted to kinetic energy in a skateboard as a skateboarder with little initial velocity manages to have himself and his skateboard climb higher and higher up a half pipe by just flexing the knees down and then up as the bends of the half pipe are entered.

Is it possible to lay down some equations and/or make some calculations related to this process, at least so as to model the position of the skateboard and the skateboarder as a sequence that depends on the way the knees are bent and the body is stretched and crouched and the initial velocity? Is it possible to do a simulation?

Thanks.

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