?

AP® Calculus AB-BC

Free Version

Upgrade subject to access all content

Easy

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

$(2,6]$