A particle moves along the -axis so that its acceleration satisfies

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A particle moves along the

x

-axis so that its acceleration satisfies

a=-4x

, where

x

is measured in meters. If the particle’s velocity is

0\text{ m/s}

when it is at

x=2\text{ m}

, what is the speed of the particle when it passes through

x=0\text{ m}

? (a)

16\text{ m/s}

(b)

8\text{ m/s}

(c)

4\text{ m/s}

(d)

4\sqrt{2}\text{ m/s}