This problem is an example of critically damped harmonic motion A mass m = 4 kg is attached to both a spring with spring constant k 144 N/mn and a dash-pot with damping constant c = 48 N s/m The ball is started in motion with initial position To - 3 m and initial velocity t = -21 m/s Determine the position function (t) in meters r(t) Graph the function (0) Now assume the mass is set in motion with the same initial position and velocity, but with the dashpot disconnected (50 C =0) Solve the resulting differential equation to find the position function (1) In this case the position function ult) can be written as u(t) = Cocos(wyt -00). Determine Cow and to Co= wo OXO (assume 0