The killing power of a bow depends on the archer's ability to draw it. An English longbow had a draw strength of at least 81 lbs:
Longbows were very difficult to master because the force required to deliver an arrow through the improving armour of medieval Europe was very high by modern standards. Although the draw weight of a typical English longbow is disputed, it was at least 81 pounds-force (360 newtons) and possibly more than 130 lbf (600 N). Considerable practice was required to produce the swift and effective combat shooting required. Skeletons of longbow archers are recognisably affected, with enlarged left arms and often osteophytes on left wrists, left shoulders and right fingers.
To kill someone with a bow like this basically required training from childhood, and produced substantial physical changes in the body. If you didn't train from childhood, your skeleton wouldn't develop structurally over the years to have the proper strength.
Along with the improving ability of gunfire to penetrate plate armour, it was the long training needed by longbowmen that eventually led to their being replaced by musketeers.
The killing power of a gun depends on the powder charge and the mass of the ammunition. It's not necessary for the troops to train for a decade or more to kill targets with muskets, even armored targets. You can train someone to load, aim & fire a musket in a day, and they could be fully trained to clean it, replace the flint, wrap their own powder charges, and cast their own musket balls within a week.