A particle moves in a circle (center O and raidus R) with constant angular velocity w counterclockwise.?

The circle lies in the xy plane and the particle is on the x axis at time t=0. Show that the particle’s position is given by: r(t)=xRcos(wt)+yRsin(wt).
Find the particle’s velocity and acceleration. What are the magnitude and direction of the acceleration? Relate your results to well-known properties of uniform circular motion.

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