Let a particle move along a line with velocity (in meters per second) v(t)= cases…

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Let a particle move along a line with velocity (in meters per second)

v(t)=\begin{cases}4,&0\le t<3,\\-1,&3\le t\le 6.\end{cases}

Determine the net displacement of the particle, in meters, during the time interval

0\le t\le6