Particle Motion and Zero Velocity
The position of a particle moving along the $$x$$-axis is given by the function $$x(t) = 6e^{-t} \cos t$$ for time $$t > 0$$. What is the first time $$t$$ at which the particle’s velocity is zero?
A
$$ \frac{3\pi}{4} $$
B
$$ \frac{\pi}{2} $$
C
$$ \frac{\pi}{4} $$
D
$$ \pi $$
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