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AP® Calculus AB-BC

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Moderate

Maximum Velocity of a Particle

APCALC-U2UETV

A particle moves along the x-axis according to the equation $x(t)=-{ t }^{ 3 }+{ 6t }^{ 2 }+4t-18$ for all $t >0$.

What is the position of the particle when it reaches its maximum velocity?

A

$-18$

B

$0$

C

$2$

D

$6$