Mathematics

Mathematics

Problem

The velocity of a particle is given by v(t)={3−t,0≤t≤3,t−4,3<t≤6.v(t)=\begin{cases} 3-t, & 0\le t\le3,\\ t-4, & 3<t\le6. \end{cases} Determine all times in 0<t<60<t<6 when the particle changes direction.

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