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|. (Hint: Find the extreme values of |v[² and Ja| first and take square roots later.)

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