Algodoo

It's a bow. Sort of, no rope (cause it's *not stretchy*), but the bow actually bends by using two axles.

The spring is actually quite good, and gives it a lot of force to propel the (extremely oversized) arrow for a fair distance at high speeds.

To use, simply take an arrow out of the... quiver? And place it on the guide rod. From there, just draw back (slowly, still), and when the puller stops just release.
I was having some physics issues, so this simulation runs at (impressive) 1200hz. Because I don't have lots of physics going on, still, it doesn't lag, but sim speed has little to no effect.

I made life easy and already placed an arrow on the guide. Careful when taking an arrow out of the quiver, or it might glitch out...