In: Advanced Math
This problem is an example of over-damped harmonic motion.
A mass m=4kg is attached to both a spring with spring constant
k=72N/m and a dash-pot with damping constant c=36N⋅s/m
The ball is started in motion with initial position x0=−3m and initial velocity v0=4m/s
Determine the position function x(t) in meters.