APFIVE Particle Motion and Zero Velocity
A particle moves along the $$ x $$-axis so that at time $$ t > 0 $$ its position 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
$$ \frac{3\pi}{8} $$
B
$$ \frac{\pi}{2} $$
C
$$ \frac{\pi}{4} $$
D
$$ \frac{\pi}{8} $$
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