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Consider a particle moving on a circular path described by r(t)=bcos(wt)i + bsin(wt)j Find the velocity vector andshow that it is orthoganal to r(t)
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This is standard work when learning circular motion (which I do not intend to copy up) - where are you learning it from?
Calc 3
Honestly, google this question and I can almost guarantee a full derivation will come pretty quick.
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