Mathematics

Problem

A particle moves with velocity (in meters per second)

v(t)=\begin{cases} 3t, & 0\le t\le 2,\\ 12-3t, & 2<t\le 6,\\ -6, & 6<t\le 8. \end{cases}

What is the total distance the particle travels over the interval

0\le t\le 8

seconds? a)

27\,\text{m}

24\,\text{m}

30\,\text{m}

18\,\text{m}