A particle moving along the -axis has velocity

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

Problem

A particle moving along the

x

-axis has velocity

v(t)=\begin{cases} 3 & 0\le t<2 \\ -2 & 2\le t\le 5 \end{cases}

, where

v

is measured in meters per second and

t

in seconds. If the particle’s position is

s(0)=1\text{ m}

, determine its displacement from

t=0

t=5