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(A) Find the position of a particle on a circle of radius R with center at the origin. Assume that theta is the angle of the position vector with the axis. Express your answer in terms of the variables R, and Theta , and unit vectors i hat, and j hat .

(B) If the particle moves with constant speed v starting on the x-axis at t = 0, find an expression for in terms of time t and the period T to complete a full circle. Express your answer in terms of the variables t, T, and appropriate constants.

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