How to find out the range of a spring?

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How to find out the range of a spring??

I need to find the range of a spring after finding the spring constant. I have reduced the formula after using conservation of energy concepts and projectile motion. Is there another way to find out how much you need to stretch the spring to launch it a certain distance? Thanks
 
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Well you can use projectile motion equations such as range to get the initial velocity v and then use conservation of energy

½ kx2 = ½ mv2 to get x.