denverdoc
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Well to get reliable results for a shot like this, one cannot use a closed form eqn as density varies too greatly as CJL notes (which is of course why skydivers can rach some extreme speeds if they jump from extreme altitudes.)
Heres a crack at a simulation using the data provided--looks very close to what was estimated (not bad for a first try)
You'll see that it reaches a much higher Vt than predicted based on ground density (which was just shy of M1 at 332m/s) and braking begins at about 40,000' but doesn't have time to substantially slow it--only arrest further acceleration.
As a sidenote the kinetic energy at contact lookes to be the equivalent of 1.5 fully loaded semis (80,000# GVW) at highway speeds.
Heres a crack at a simulation using the data provided--looks very close to what was estimated (not bad for a first try)
You'll see that it reaches a much higher Vt than predicted based on ground density (which was just shy of M1 at 332m/s) and braking begins at about 40,000' but doesn't have time to substantially slow it--only arrest further acceleration.
As a sidenote the kinetic energy at contact lookes to be the equivalent of 1.5 fully loaded semis (80,000# GVW) at highway speeds.