Mathematics

Problem

For

0\le t\le4\text{ s}

, the acceleration of a particle is

a(t)=\begin{cases}6,&0\le t\le1,\\0,&1< t\le4,\end{cases}

measured in meters per second squared. If the velocity at

t=0

2\text{ m\,s}^{-1}

, determine the velocity of the particle at

t=4\text{ s}