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Particle Motion and Zero Velocity

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The position of a particle moving along the x-axis at time t>0t > 0 is given by x(t)=5e−t/2cos⁡(t2) x(t) = 5e^{-t/2} \cos\left(\frac{t}{2}\right) . What is the first time tt at which the particle’s velocity is zero?

A

3π2 \frac{3\pi}{2}

B

π \pi

C

2π 2\pi

D

π2 \frac{\pi}{2}

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