A particle's velocity is defined by v(t)= cases +4

PHYSICS · Subjective · CBSE · Physics · Motion · Motion

Problem

A particle's velocity is defined by v(t)={+4 m/s,0≤t<2−3 m/s,2≤t<5+2 m/s,5≤t≤8v(t)=\begin{cases}+4\,\text{m/s},&0\leq t<2\\-3\,\text{m/s},&2\leq t<5\\+2\,\text{m/s},&5\leq t\leq8\end{cases} with x(0)=0x(0)=0. Find the displacement during the interval 0→2 s0\to2\,\text{s}.

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