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Problem 12-47: Engineering Mechanics- Dynamics (Hibbeler 14th Edition)

Engineering Mechanics Dynamics · R.C. Hibbeler · Chapter 12

Course: Engineering Mechanics Dynamics Book: R.C. Hibbeler Chapter: Chapter 12

Question

A two-stage rocket is fired vertically from rest at $s = 0$ with the acceleration described by the graph below. $$a(t) = \begin{cases} \dfrac{2}{5}\,t \; \text{m/s}^2 & 0 \le t < 30 \text{ s} \\ 24 \; \text{m/s}^2 & 30 \le t \le 60 \text{ s} \end{cases}$$ For $0 \le t < 30$ s, acceleration increases linearly from $0$ to $12$ m/s²; for $30 \le t \le 60$ s, acceleration is constant at $24$ m/s². Plot the $v$–$t$ and $s$–$t$ graphs describing the motion for $0 \le t \le 60$ s.

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