A long time ago the two future sibling gods of Archery; Apollo and Artemis challenged each other to a game of targets. Essentially the two would see who could send a sharp object into the center of target using a tool made of wood and string.
Gah! What is this Arrow like object
They prepared to launch their arrows
What have we Done!
Little did they know, there was a traveler walking directly behind the target
I suppose one good thing came out of this
Apollo's arrow missed and hit the traveler instead causing him to bleed
Being the gods they were they immedietyly healed him and he was on his way
They realized that the tool they used would be useful in combat. They called it a bow and named the sport Archery.