Answer: A particle moves along a circular path over a

Chapter , Problem 66

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A particle moves along a circular path over a horizontal xy coordinate system, at constant speed. At time \(t_{1}\) = 4.00 s, it is at point (5.00 m, 6.00 m) with velocity \((3.00 \mathrm{~m} / \mathrm{s}) \hat{\mathrm{j}}\) and acceleration in the positive x direction. At time \(t_{2}\) = 10.0 s, it has velocity \((-3.00 \mathrm{~m} / \mathrm{s}) \boldsymbol{i}\) and acceleration in the positive y direction. What are the

(a) x and

(b) y coordinates of the center of the circular path if \(t_{2}-t_{1}\) is less than one period?

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