A sword guy running at archers should never get near them if cover was not used.
They also invented this thing called armour.
Not sure how good your history is but, arrows could penetrate most kind of armors, not plate of course but that is why we came up with the crossbow.
Not really. Even regular mail with proper padding would be able to stop most arrows. Sure, the strongest of bows would propably be able to penetrate under optimal conditions but usage of these were very rare throughout history due to the extreme strenght and training needed to properly use them. It simply wasnt worth the hassle for most armies. English Longbowmen are famous precicely because of their insistence in using heavy bows, but this was far from the norm at the time.
Of course, you always run the risk of the arrow hitting you in a less armored area like the face. But the main point to take from this is that if a guy with padded mail armor and a raised wodden shield came running (jogging more likely) towards an archer there was not really much the archer could do about it but flee.
