Question: A particle moves in the xy-plane in such a way that its position at time t is r(t) = (t - sin t)i + (1

A particle moves in the xy-plane in such a way that its position at time t is r(t) = (t - sin t)i + (1 - cos t)j.

a. Graph r(t). The resulting curve is a cycloid.

b. Find the maximum and minimum values of |v| and |a|.

(Find the extreme values of |v|2 and |a|2 first and take square roots later.)

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a To graph rt we can first rewrite it in terms of x and y x t sin t y 1 cos t We can eliminate t by ... View full answer

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