Placed in a tank of viscous liquid, a 1 kg mass moves horizontally on a line and experiences no friction. it is attached to a spring that forces it towards an equilibrium by a force amounting to 5 newtons if the mass is 50 c away from the equilibrium. it is at this point that the mass is released. it is observed that, at the speed of 50 cm/sec the motion of the mass is damped by a force of 3.5 newtons. (a) compute the displacement of the mass away from the equilibrium as a function of time. (b) using a different liquid, the experiment is repeated under exactly the same cir- cumstances and the damping force is found to be 3 newtons. compute the displacement of the mass away from the equilibrium as a function of time e-cos (t) +3sin (t) 6