A railroad car of mass 2500 ?? travelling at a velocity ? = 8 ?/? is stopped at the end of the tracks by a spring damper system, as shown in the figure below. If the stiffness of the spring is ? = 85 ?/?? and the damping constant is ? = 25 ??/?? determine (a) the maximum displacement of the car after engaging the springs and damper and (b) the time taken to reach the maximum displacement

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