A particle moves along the –axis with velocity v(t)= cases 6-2t, & 0 t 4

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A particle moves along the

x

–axis with velocity

v(t)=\begin{cases} 6-2t, & 0\le t\le 4,\\ t-6, & 4<t\le 8. \end{cases}

What is the particle’s displacement (change in position) from

t=0

t=8

? (a)

0

units (b)

8

units (c)

12

units (d)

-8

units