Actually it's about mach 37, which is 11.2 km/second. The problem with this idea is that it would place huge G forces on whatever you were launching. If your catapult was 1 km long, anything being accelerated to escape velocity on it would be subject to about 6400 G. If it was 100 km long, it would still be around 64 G - far too high for a person, and probably too much for most materials. And that's assuming you could even build a launcher that was 100 km long.This leaves us with the "high-g" catapult. The problem with this is that the escape velocity has to be about mach 11. I can't recall where I read that, but that is so high that it just might burn anything up. But we have to give this catapult a try.
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