How to Calculate the Max Launch Speed of a Catapult Using Elastic Bands?

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Final Thought
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Ok, so for a summative project, my group has to build a catapult which must use elastic bands to propel an object. I have the energy, force, and maximum stretch distance of the elastic band. The values are 8 joules, 16 Newtons, and 0.5 meters. The catapult is not built yet, so I can't give any specs about it.

Now from this, is it possible to calculate the max launch speed, acceleration during launch, max height, and max range?

Any help would be greatly appreciated.
 
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Can you show how that catapult will look like?

ehild
 


The design won't be much different than this http://www.redstoneprojects.com/trebuchetstore/catapult_2.jpg"

The main difference is that my group's catapult has to launch at different angles, so we're adding a mechanism to do that.
 
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