A particle moves along a line with velocity (in meters per second) v(t)= cases 4, & 0…

MATHEMATICS · Subjective · A Level · Mathematics · Kinematics · Kinematics

Problem

A particle moves along a line with velocity (in meters per second)

v(t)=\begin{cases} 4, & 0\le t\le 2\\ -2, & 2< t\le 5 \end{cases}

for time

t

in seconds. Determine both the net displacement and the total distance the particle travels on the interval

0\le t\le 5