Problem 12-52: 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 described by the following piecewise v–t graph: $$v(t) = \begin{cases} 1.25t & 0 \le t \le 4 \ \text{s} \\ 5 & 4 \le t \le 10 \ \text{s} \\ -t + 15 & 10 \le t \le 15 \ \text{s} \end{cases} \quad (\text{m/s})$$ Determine the total distance the motorcycle travels until it stops at $t = 15$ s. Also describe the shapes of the a–t and s–t graphs.

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