To find the velocity and acceleration vectors for uniform circular motion and to

Question

To find the velocity and acceleration vectors for uniform circular motion and to recognize that this acceleration is the centripetal acceleration. Suppose that a particle's position is given by the following expression: (t) = R [cos (wt) + sin(wt)] = Rcos(wt) + Rsm(wt). Find the particle's velocity as a function of time. Express your answer using unit vectors (e.g., A + B , where A and B are functions of w, R, t, and pi) Find the speed of the particle at time t. Express your answer in terms of some or all of the variables w, R, and pi. Hints My Answers Give Up Review Part Now find the acceleration of the particle. Express your answer using unit vectors (e.g., A + B , where A and B are functions of w, R, t, and pi).

Explanation / Answer

velocity=dr/dt

v=-Rwcoswti +Rwsinwt

speed=wR

acceleration=mw^2R

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