This problem is an example of critically damped harmonic motion A mass m 7 kg is attached to both a spring with spring constant & 175 N/m and a dash-pot with damping constant e = 70 N-s/m The ball is started in motion with initial position zo6 m and initial velocity ty=-34 m/s Determine the position function ar(t) in meters. z(t)-6e^(-5t)-4te^(-5t) 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 c0) Solve the resulting differential equation to find the position function () In this case the position function su(t) can be written as u(t) Cocos(wit-ae). Determine Co. we and op C₂- wp-5 O (assume 0 ≤ 0 <2m)

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