(1 point) This problem is an example of critically damped harmonic motion. A mass m = 8 is attached to both a spring with spring constant k = 128 and a dash-pot with damping constant c = 64. The ball is started in motion with initial position 5 and initial velocity v = -21. Determine the position function (t). x(t) = Graph the function x(t). Now assume the mass is set in motion with the same initial position and velocity, but with the dashpot disconnected (so c = 0). Solve the resulting differential equation to find the position function u(t). In this case the position function u(t) can be written as u(t) = Cocos(wot - a). Determine Co, wo and ao. Co= Wα= α = (assume 0 a <2)