Particle Motion and Zero Velocity
A particle moves along the $$x$$-axis so that its position at time $$t > 0$$ is given by $$x(t) = 14e^{-2t} \cos(2t)$$. What is the first time $$t$$ at which the velocity of the particle is zero?
A
$$ \frac{\pi}{4} $$
B
$$ \frac{\pi}{2} $$
C
$$ \frac{\pi}{8} $$
D
$$ \frac{3\pi}{8} $$
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