Mathematics

Problem

A particle starts at

x=0

when

t=0

and moves according to the velocity function

v(t)=\begin{cases} 3, & 0\le t<2, \\ -4, & 2\le t<5, \\ 2, & 5\le t<8. \end{cases}

At what time

t

(in seconds) does the particle first reach the position

x=-2

meters? a)

5

4

7

3