RE: How high ?
I came up with 6828.16 meters. For total height. Now I haven't used my physics in 6 years but I used to be pretty proficient at it.
Calc time for height we know that the starting velocity 800m/s and the final velocity is 0 m/s(just before it starts coming down). Acceleration is a constant -9.8m/s^2. We get 0=800m/s-9.8m/s^2*t^2 which is (800m/s)/(9.8m/s^2)=t^2 which means t=9.035s.
Now distance is D=InitialVelocity*t+.5*acceleration*time^2. D=(800m/s)*(9.035s)+.5(-9.8m/ss)*(81.6ss) D=6828.16
Calculating drag depends on air density. Since that changes with altitude that is just way to much to go into.