(1 point) This problem is an example of critically damped harmonic motion. A mass m = 7 kg is attached to both a spring with spring constant k = 343 N/m and a dash-pot with damping constant c=98 N-s/m. The ball is started in motion with initial position o=2 m and initial velocity up-17 m/s. Determine the position function (t) in meters. x(t)= [(2)-(3)tle^(-7t) 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 c the resulting differential equation to find the position function (f). In this case the position function u(t) can be written as u(t) Cocos(wat ag). Determine Co, w and ag Co sqrt(13) Wo= x0- (assume 0062) Finally, graph both function x(t) and u(t) in the same window to illustrate the effect of damping. 0). Solve