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Particle Motion and Zero Velocity

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The position of a particle moving along the xx-axis is given by x(t)=10e−3tcos⁡(3t)x(t) = 10e^{-3t} \cos(3t) for time t>0t > 0. What is the first time tt at which the velocity of the particle is zero?

A

π6 \frac{\pi}{6}

B

π12 \frac{\pi}{12}

C

π3 \frac{\pi}{3}

D

π4 \frac{\pi}{4}

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