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Problem 12-43: Engineering Mechanics- Dynamics (Hibbeler 14th Edition)

Name: Problem 12-43: Engineering Mechanics- Dynamics (Hibbeler 14th Edition)
Uploaded: 2026-07-20T22:01:34.275Z
Description: A jet plane lands on a runway with an initial speed of $v_0 = 300 \text{ ft/s} = 91.44 \text{ m/s}$ at $t = 0$ s (with $s_0 = 0$). The acceleration–time graph is piecewise: $$a(t) = \begin{cases} 0 & 0 \le t \le 10 \text{ s} \\ -2(t-10) \text{ m/s}^2 & 10 20 \text{ s} \end{cases}$$ Determine the time $t'$ at which the plane stops. Construct the $v$–$t$ and $s$–$t$ graphs.

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

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

Question

A jet plane lands on a runway with an initial speed of $v_0 = 300 \text{ ft/s} = 91.44 \text{ m/s}$ at $t = 0$ s (with $s_0 = 0$). The acceleration–time graph is piecewise: $$a(t) = \begin{cases} 0 & 0 \le t \le 10 \text{ s} \\ -2(t-10) \text{ m/s}^2 & 10 < t \le 20 \text{ s} \\ -3 \text{ m/s}^2 & t > 20 \text{ s} \end{cases}$$ Determine the time $t'$ at which the plane stops. Construct the $v$–$t$ and $s$–$t$ graphs.

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Problem 12-43: Engineering Mechanics- Dynamics (Hibbeler 14th Edition)

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