['I point) This problem is an example of critically damped harmonic motion. A mass m = 3' kg is attached to both a spring with spring constant k = 112 Nile and a dash-pot with damping constant c = 56 N - aim. The ball Is started in motion with initial positionx = 5 m and initial velocity VD = 23 mr's. Determine the position function x[t] In meters. xm = Graph the function xEr]. Now assume tl'e mass Is set in motion with the same InItiaI position and velocity. out with the dashpot disconnected [ so c = 0). Solve the resultirg differential equation to nd the position function [10). In this case the position function u(r) can be written as 11(1) = Cgcoslmnr org). Determine Cu, dig and an. A A = /(assume$au