A couple of thousand years ago is the peak of the Romans, so you're way off on your 'height' of technology at that time.

Using bows and arrows as an example when you've got wonders of pretty advanced engineering like the Parthenon, plus they also had ballistae, chariots and catapults, so not the peak at all.

Not only that, but even the bows were more advanced, composite bows much more powerful than simple ones made of wood.