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AP® Calculus AB-BC

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Moderate

Times When Particle Is at Rest

APCALC-VJUKRG

A particle moves in the $xy$-plane according to the equations $x( t ) ={ ( t-1 ) }^{ 2 }( t-4 ) $ and $y( t ) = \cfrac{1}{3}t^3 -\cfrac{5}{2}t^2+6t$.

Find all values of $t$ when the particle is at rest.

A

$t=1,\ t=2$ and $t=3$

B

$t=2$ and $t=3$

C

$t=1$ and $t=3$

D

$t=3$