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Particle Motion and Zero Velocity

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A particle moves along the xx-axis so that its position at time t>0t > 0 is given by x(t)=14e−2tcos⁡(2t)x(t) = 14e^{-2t} \cos(2t). What is the first time tt at which the velocity of the particle is zero?

A

π4 \frac{\pi}{4}

B

π2 \frac{\pi}{2}

C

π8 \frac{\pi}{8}

D

3π8 \frac{3\pi}{8}

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