I need to find a parachutist's displacement after a given height (nearly 37000m) and at a given latitude. I have his mass, area, parachute area, drop height, parachute deployment height, data about the atmosphere, and other assorted values. I don't have velocity and Temperature so I'm stuck. Please help.
finding pressure change without temperature: $V(dP/dt) = nR(PV/NR)$ (doing that would result in the original pressure for pressure change...)?
using pressure change to find density change: again, no temperature, and if you substitute temp for PV/NR you end up canceling the pressure terms making using the pressure derivative futile? $ Density = (P*Mw)/(RT)$
using density change to find drag change: No velocity given so what do I do? $Drag = Cd*A*.5*r*v^2$, where $r = drag$
using drag to net force to find acceleration: $drag/m = a$?
repeat last few steps for the parachute:...
Find how fast the earth rotates, and use the two velocities (earth/person) to find salient times: ?
Use the above to find: total displacement
Note I'd need to stick to the above process and I didn't give values because I'd prefer to get help with strategies.