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Physics: 1D Motion A nervous monkey races around inside his cage, over and over.

ID: 1308166 • Letter: P

Question

Physics: 1D Motion

A nervous monkey races around inside his cage, over and over. The path the monkey takes is indicated in the figure- all motion is in the x-y plane. At time t=0 the monkey starts at the origin at A and runs with a constant speed v=1m / s across the floor to point B (at x=1m, y=0). Then he immediately climbs the curved front of the cage (a quarter-circle, with radius R =1m), again moving at constant speed v=1m / s up and over to C (at x=0, y=1m) where he instantly stops and then immediately "free falls", dropping to the ground at A, whereupon he immediately runs from A to B again, etc. He is bored out of his mind and would happily trade places with you right now. Determine the round-trip time T for the monkey in going from A back to A. Make quantitative plots of the velocity vector components vx and vy for the monkey, from t=0 to t=T. Keep track of positive and negative quantities. Make quantitative plots of the acceleration vector components ax and ay for the monkey, from t=0 to t=T. Keep track of positive and negative quantities.

Explanation / Answer

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