Civ bonus/Unique tech to increase arrow speed?

I've been thinking about this a bit lately. It seems like it would be a cool mechanic to have a civ whose arrows move faster. It would make their early archers devastating by making them very hard to dodge. It would also act as semi-ballistics (before getting ballistics) in Castle age. In post imp a fair number of arrows miss even with ballistics because they travel so far that units change direction and dodge (think knight fight with arb behind). Seems like it would be similar to the Ethiopian bonus. Thoughts?