1. The problem statement, all variables and given/known data A particle of constant mass moves one dimensionally under the influence of a restoring force, proportional to the displacement from the origin, and a damping (resistive) force propportional to the velocity. Write down an appropriate equation of motion for the particle. escribe the three possible types of motion for this problem, describing the solution in each case. 2. The attempt at a solution the equation of motion: F = R - D F is the resultant force, R is the restoring force, D is the damping force. There are three constants in the problem: the mass of the particle and the constants of proportionality of the two forces. Calling them c1, c2 and c3: c1x'' = c3x - c2x' c1x'' + c2x' - c3x = 0 The three types of motion, at a guess, would be net acceleration, constant velcoity and net deceleration, but I have no good reason for suppoising this to be the case. How do I complete the question?