Ode solve without if - new problem

[ValeryOchkov]

A problem.

I threw the ball (mass and diameter are known) from a height h.
I measured (using a stopwatch) time from throwing up the ball to the moment when I heard the sound of the ball falling to the ground. What is the ratio k - see about this ratio here http://communities.ptc.com/message/187832

Note!

Nobody was hurt on the ground at the time of this and this experiment!

[AlanStevens]

I take it the initial velocity is also known.

Alan

[ValeryOchkov]

V0=0m/s

[AlanStevens]

Ok Valery, seems straightforward enough - see attached - or have you something trickier in mind?

I invented arbitrary data in order to give a numerical example.

Also,I didn't bother to include Archimedean upthrust!

Alan

[ValeryOchkov]

Thanks, Alan!

See my solution - the picture and in attach: