Solved: A particle moves in the xy-plane so that its position at, Mathematics

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A particle moves in the xy-plane so that its position at

Question: A particle moves in the xy-plane so that its position at time t is given by x = sin t and y = cos(2t) for 0 ≤ t

(a) At what time does the particle first touch the x-axis? What is the speed of the particle at that time?

(b) Is the particle ever at rest?

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Mathematics: A particle moves in the xy-plane so that its position at

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