A particle has velocity given by with in meters per second and in seconds

MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals

Problem

A particle has velocity given by

v(t)=\begin{cases}4t,&0\le t\le 3,\\12,&3< t\le 5,\end{cases}

with

v

in meters per second and

t

in seconds. Calculate the displacement of the particle from

t=0

t=5\text{ s}