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Problem 12-44: 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 particle moves through an electric field from one plate to another. Its v–t graph is triangular (tent-shaped): the particle accelerates from rest at a constant $a = +4 \text{ m/s}^2$, reaches a peak velocity $v_{\max}$, then decelerates at $a = -4 \text{ m/s}^2$ back to rest at the second plate. The plates are spaced 200 mm apart. Determine $v_{\max}$ and the total travel time $t'$. Also describe the s–t graph. Note: at $t = t'/2$, the particle is at $s = 100 \text{ mm}$.

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