*12-48. The v-t graph for a particle moving through an

Chapter 12, Problem 12-48

(choose chapter or problem)

The v-t graph for a particle moving through an electric field from one plate to another has the shape shown in the figure. The acceleration and deceleration that occur are constant and both have a magnitude of \(4 \mathrm{\ m} / \mathrm{s}^{2}\). If the plates are spaced 200 mm apart, determine the maximum velocity \(v_{\max }\) and the time \(t^{\prime}\) for the particle to travel from one plate to the other. Also draw the s-t graph. When \(t=t^{\prime} / 2\) the particle is at s = 100 mm.

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