This question is on mechanical vibrations on differential equations

Section 3.7 Free Mechanical Vibrations: Problem 5 (1 point) This problem is an example of over-damped harmonic motion. A mass m = 2 kg is attached to both a spring with spring constant k = 12 N/m and a dash-pot with damping constant c = 14 N - s/m . The ball is started in motion with initial position $0 = 7 m and initial velocity v9 = 1 m/s. Determine the position function $(t) in meters. a:(t) = Q 4 Graph the function $(t). Now assume the mass is set in motion with the same initial position and velocity, but with the dashpot disconnected (so (2 = 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 Oto). Determine 00, can and an. Co: we: /, a0 = / (assumeO S cm