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Period of Parametric Circular Motion

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A particle’s motion is described by the parametric equations x(t) = 4 + 2cos(3t - π/4) and y(t) = -1 + 2sin(3t - π/4). What is the time required for the particle to complete one full revolution?

A

t = 2π

B

t = 3π/2

C

t = π/6

D

t = 2π/3

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