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 Quote by cyborg6060 My issue is that I don't see what prevents a spaceship throwing off fuel at a constant rate A kg/s, so that: $\frac{dp}{dt} = \frac{GMm}{r^2}$ $A v = \frac{GM(m - At)}{r^2}$. What prevents this system (classically, so long as v is not too large) from escaping the event horizon? My initial thought would be that v would have to be greater than the speed of light, but I can't quite justify that mathematically. Any thoughts would be incredibly helpful.