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# Particle Moving to the Left

APCALC-ONUZ3F

A particle moves along the x-axis according to the equation,

$$x( t ) =( t-2 ) ( t+3 ) ^2 \text{ for } 0 \le t \le 6$$

Find all values of $t$ when the particle is moving to the left.

A

$( 0,2 )$

B

$\left( \cfrac{1}{3}, 6 \right]$

C

$\left[ 0,\cfrac{1}{3} \right)$

D

$(2,6]$