Physics

Problem

A particle's velocity is defined \piecewise by

v(t)= \begin{cases}+4 \mathrm{~m} / \mathrm{s}, & 0 \leq t<2 \ -3 \mathrm{~m} / \mathrm{s}, & 2 \leq t<5 \ +2 \mathrm{~m} / \mathrm{s}, & 5 \leq t \leq 8\end{cases}

with

x(0)=0

. Find the displacement during the interval

0 \rightarrow 2 \mathrm{~s}