This is a physics related question involving some calculus.

I have made numerous attempts trying different strategies, but to no avail. I am not sure how to set up this problem. Each time I try to solve for b, I get an equation that is "impossible" to solve (according to Mathematica 7).A vertical spring of spring constant 160 supports a mass of 80 . The mass oscillates in a tube of liquid. If the mass is initially given an amplitude of 5.5 , the mass is observed to have an amplitude of 2.4 after 3.8 . Estimate the damping constant . Neglect buoyant forces.

Can someone please explain how to approach this problem?

Relevant (possibly) equations:

Thanks,

Patrick