Mathematics

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}

2\sqrt[3]{3}

c) 2 d) 3