Mathematics

Mathematics

Problem

For 0≤t≤60\le t\le 6, a particle has velocity v(t)={−40≤t<12t−61≤t≤6v(t)=\begin{cases} -4 & 0\le t<1 \\ 2t-6 & 1\le t\le 6 \end{cases}. Compute the total distance the particle travels on the interval 0≤t≤60\le t\le 6.

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