Need a bit of help with arrow speed.

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wateroksnmud
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Hi! To start off I am an archer. I'm currently a freshmen working towards my degree but have not yet made it to physics. The issue is that I need to create a calculator that I can use to find the speed of an arrow being shot from a bow when I have X (the weight behind the string) and Y (the weight of the arrow in grains). Where do I even start?

I have read some of the posts in here as I love math and would love to do this myself, but a lot of the formula's look like hieroglyphics right now.

This is calculator is not homework but for a site I'm building. You can see it nolimitsarchery.com

I appreciate any help in advance.
 
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