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AP® Calculus AB-BC

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Moderate

Motion of a Particle in Polar Coordinates

APCALC-GWEES2

Suppose the motion of a particle is described by the polar equation $r=2\sin{2\theta}$.

When $\theta=\cfrac{\pi}{3}$, is the particle moving towards or away from the origin?

A

Toward the origin.

B

Away from the origin.

C

It is moving neither toward or away from the origin.

D

Cannot be determined from the given information.