Mathematics

Mathematics

Problem

A particle’s position is described by s(t)={2t2−3t,0≤t≤3,−t2+12t−15,3<t≤6.s(t)=\begin{cases} 2t^{2}-3t, & 0\le t\le 3,\\ -t^{2}+12t-15, & 3<t\le 6. \end{cases} Determine the particle’s velocity at t=4t=4. a) 55 b) 1313 c) 44 d) −4-4

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