What are the spring and damping constants for a mass on spring problem?

[wdv3835]

--------------------------------------------------------------------------------

Ive got this problem to do and could really use some help. here it is.

Problem: A 1000kg mass is dropped from 10.0m onto a massless plank supported with a spring dashpot system.(the dashpot provides damping) The spring has a constant k and the dashpot characterized by damping constant b. It is desired that the mass drops on to the plank resulting in the system settling at a new equilibrium 0.20cm lower than the initial position as quickly as possible without overshooting this equilibrium.

Thanks

 

[qspeechc]

So the question is to find k and b, is that it?

 

[wdv3835]

sorry I completely forgot to put what we are trying to find, find a) the spring constant b) the damping constant c) find to two sig figs the time required for the platform to settle within 1.00mm of the final position