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 a. If the plates are spaced s_max apart, determine the maximum velocity v_max and the time t_f for the particle to travel from one plate to the other. Also draw the s-t graph. When t = t_f/2 the particle is at s = s_max/2. Given:

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a = 4 2 S Smax = 200 mm