Problem 12-53: Engineering Mechanics- Dynamics (Hibbeler 14th Edition)
Engineering Mechanics Dynamics · R.C. Hibbeler · Chapter 12
Question
A motorcycle starts from rest at $s = 0$ and travels along a straight road with the speed shown by a $v$–$t$ graph. The graph consists of three segments: $$v(t) = \begin{cases} 1.25t & 0 \le t \le 4\text{ s} \\ 5 & 4 < t \le 10\text{ s} \\ -t + 15 & 10 < t \le 15\text{ s} \end{cases}$$ Determine the motorcycle's acceleration and position when $t = 8$ s and $t = 12$ s.
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