How to determine length of a spring

[Nicholas Morse]

Hi Everyone,

Kind of a tough question here. How do I determine the length of a spring if we don't have any visual information about it? All we have is the spring rate & change of object position from when the spring is uncoiled, to fully coiled.

Anyone have any ideas on this? I tried the hooke's law formula but it gave me some goofy length equations which wouldn't make sense.

 

[Nicholas Morse]

Also, the system is dampened and we have the resistance rates of the compression and rebound resistance.