Let be the velocity (in m/s) of a particle moving along a straight line

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Let

v(t)=3t^{2}

be the velocity (in m/s) of a particle moving along a straight line, where

t

is measured in seconds. The particle starts at

t=0

. At what time

b>0

has the particle traveled exactly

24

meters? (a)

2\sqrt{2}

(b)

2\sqrt[3]{3}