Since most of the comets/asteroids, etc are remnants from the Late Heavy Bombardment era from 4.1 to 3.8 Billion years ago, then this may help..
http://en.wikipedia.o...ate_Heavy_Bombardment
Specifically..
If a lunar cataclysmic cratering event were truly to have occurred on the Moon, the Earth would have been affected as well. Extrapolating lunar cratering rates to Earth at this time suggest that the following number of craters would have formed..
22,000 or more impact craters with diameters >20 km (12 mi),
about 40 impact basins with diameters about 1,000 km (620 mi),
several impact basins with diameter about 5,000 km (3,100 mi),
Serious environmental damage would occur about every 100 years, although life is not known to have existed on Earth at this time.