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This problem is an example of critically damped harmonic motion. A mass m = 3 kg is attached to both a spring with spring constant k = 243 N/m and a dash-pot with damping constant c = 54 N⋅s/m. The ball is started in motion with initial position x0 = 2 m and initial velocity v0 = −21 m/s. Determine the position function x(t) in meters. x(t) =

This problem is an example of critically damped harmonic motion. A mass m = 3 kg is attached to both a spring with spring constant k = 243 N/m and a dash-pot with damping constant c = 54 N⋅s/m. The ball is started in motion with initial position x0 = 2 m and initial velocity v0 = −21 m/s. Determine the position function x(t) in meters. x(t) =

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This problem is an example of critically damped harmonic motion. A mass m = 3 k g is attached to both a spring with spring constant k = 243 N / m and a dash-pot with damping constant c = 54 N ⋅ s / m . The ball is started in motion with initial position x 0 = 2 m and initial velocity v 0 = − 21 m / s .
Determine the position function x ( t ) in meters.
x ( t ) =

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