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Particle Motion and Zero Velocity

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The position of a particle moving along the x-axis is given by x(t)=8e−2tsin⁡(2t) x(t) = 8e^{-2t} \sin(2t) for time t>0 t > 0 . What is the first time t t at which the velocity of the particle is zero?

A

π8 \frac{\pi}{8}

B

π4 \frac{\pi}{4}

C

3π8 \frac{3\pi}{8}

D

π2 \frac{\pi}{2}

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