Mathematics

Problem

A particle moves in the plane with velocity

\mathbf v(t)=\begin{cases} \langle t+1,0\rangle, & 0\le t\le 2,\\ \langle 0,0\rangle, & 2< t\le 5,\\ \langle 0,3\rangle, & 5< t\le 8. \end{cases}

What is the particle’s average speed over the entire interval

0\le t\le 8

? a)

\dfrac{5}{3}

\dfrac{9}{8}

\dfrac{13}{8}

\dfrac{13}{5}