Position, Velocity, and Acceleration Using Integrals Practice Test

A particle’s velocity is $v(t)=\begin{cases}t,&0\le t\le1\\2-t,&1<t\le2\end{cases}$ with $x(0)=0$. What is $x(2)$?

Velocity is given by $v(t)=|t-2|-1$ (m/s) for $0\le t\le4$, and $x(0)=0$. What is the displacement on $0,4$?