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 m/s². If the plates are spaced 200 mm apart, determine the maximum velocity v_max and the time t' for the particle to travel from one plate to the other. Also draw the s-t graph. When t = t'/2 the particle is at s = 100 mm.

Vmax V t'/2 S Smax t