One gift for Hero of the Month: Alan Stevens (spent 35 years working in the Submarines division of Rolls-Royce) - see http://communities.ptc.com/docs/DOC-3019
A steel ball (with d=100 mm and Ro=7800 kg/m^3) was thrown upward from a submarine (with the speed 40 knot - one additional condition). The ball has reached a certain maximum height (h.max=25 m or some others) and fell to the see surface after a certain time (t.end=3s or some others).
What is the initial speed of the missile, pardon, the ball and what was a depth of the submarine. The coefficient of drag k is 0.5 (F.drag=k S Ro.air v^2). Ro.air=1.225 kg/m^3 or is a function of the height. Ro.sea_water see here - http://twt.mpei.ru/MCS/Worksheets/rbtpp/eng/Diag14.xmcd (one IAPWS live formulation).
