A particle moves in the plane with velocity v(t)= cases t+1,0 , & 0 t 2, 0,0 , & 2< t…

MATHEMATICS · Single correct · A Level · Mathematics · Kinematics · Kinematics

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}

(b)

\dfrac{9}{8}

(c)

\dfrac{13}{8}

(d)

\dfrac{13}{5}