0
the maximum velocity of a rocket is approximated by:
Delta_V = go*ISP*ln(Mi/Mf)
where Delta_V = the change in velocity
go = 32.2 ft/22
ISP = the specific impulse
Mi = initial mass
Mf = final mass
mp = propellant mass
mo = stage inert mass
mf = stage total mass
This equation has to be solved for each stage considering the masses of all of the fallowing stages and payloads
Stage 1
mo (lb) 300000
mp (lb) 4492000
mf (lb) 4792000
Mi (lb) 6200600
Mf (lb) 1708600
ISP 263
delta V 10915.79
Stage 2
mo (lb) 95000
mp (lb) 942000
mf (lb) 1037000
Mi (lb) 1408600
Mf (lb) 466600
ISP 421
delta V 14977.96
Stage 3 mo (lb) 34000
mp (lb) 228000
mf (lb) 262000
Mi (lb) 371600
Mf (lb)143600
ISP 421
delta V 12889.05
payload mass (lb) 109600
Max Speed ft/s 38782.80
Max Speed Mph 26442.82
In short, ignoring aerodynamic friction and assuming a constant gravitation acceleration the maximum achievable velocity is about ~26500 mph
Wiki User
∙ 13y ago
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