Calculating velocity or acceleration

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To calculate the velocity of the marble launched from the ballista catapult, use the potential energy formula U=(1/2)kx^2, where k is the spring constant and x is the spring's compression. This gives you the energy in Joules. Set this energy equal to the kinetic energy formula E(k)=(1/2)mv^2, where m is the mass of the marble and v is its velocity. By rearranging the equation, you can solve for the initial velocity of the marble. This method effectively links the spring's potential energy to the marble's kinetic energy upon launch.
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for our physics project we had to build a catapult
and our group built a kind of ballista.. if u don't know what that is it's a type of catapult that shoots out the object instead of launching it like a see-saw
so our catapult is hooked up to a spring which you pull back.. then release it to launch a marble through a pipe
but we need to find the velocity of our marble when it's launched
how am i supposed to do that?

i'm thinking i could use the spring constant somehow.. but i don't have any ideas on how to apply it

any help appreciated guys :)
 
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Potential energy from a spring is calculated by the formula U=(1/2)kx^2, where k is the spring constant, and x is the change in the length of the spring.

Plug in the values for k and x and you have a value in Joules. Then set that as equal to E(k)=(1/2)mv^2, where m is mass, and v is velocity.

Voila, you have the initial velocity!
 
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