This problem is an example of over-damped harmonic motion. A mass m=4kg is attached to both a spring with spring constant k=16N/m and a dash-pot with damping constant c=20N⋅s/m . The ball is started in motion with initial position x0=−2m and initial velocity v0=2m/s. Determine the position function x(t) in meters.   x(t)=

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This problem is an example of over-damped harmonic motion.

A mass m=4kg is attached to both a spring with spring constant k=16N/m and a dash-pot with damping constant c=20N⋅s/m .

The ball is started in motion with initial position x0=−2m and initial velocity v0=2m/s.

Determine the position function x(t) in meters.

 

x(t)=

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