# A problem by John Marvin Macaraeg

Level pending

A particle travels around the limaçon $$r=3+2cos\theta$$ with a constant angular velocity of $$2\frac{rad}{sec}$$, that is, $$\frac{d\theta}{dt}=2$$. If $$r$$ is expressed in feet, find $$v$$ and $$a$$ at the instant when $$\theta=\frac{1}{2}\pi$$.

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