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Problem 12-46: 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

The $a$–$s$ graph for a rocket moving along a straight track has been experimentally determined. The graph consists of two segments: - **Linear segment:** $a = 6 + 0.08s$ (ft/s²) for $0 \le s \le 75$ ft - **Nonlinear segment:** approximated numerically for $75 < s \le 125$ ft The rocket starts from rest ($v = 0$) at $s = 0$. Determine the speed at $s = 75$ ft and $s = 125$ ft. Use Simpson's Rule with $n = 100$ sub-intervals to evaluate the speed at $s = 125$ ft.

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