Used a gnarly large helical gear but with integral diminishing ratio.
Gravity-powered in same way but with a 20-meter-ish tower. (Cheaper than a standard 800'-tall trebuchet.)
At release time, achieved 10 G-force (payload goal), it's velocity speed was audibly a speed of sound (arguably higher, math says Mach 2.7).
That was our lunchtime project, all started from several stage bets, a napkin diagram, and different loser(s) pay for weekly food deliveries.
Even demonstrated to some brass from an unrelated project.
Fun-time.
Oh, yes, lest I forget, bunker-required for safety (where exactly would you stand?).