(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I've been tasked with designing a projectile launcher that must be built using either elastic bands or springs. The objective is to measure the launch velocity against the distance the projectile is pulled back before release. The launcher itself isn't supposed to be very large, as the projectile is quite small.

Basically, I need help in designing a very simple launcher, but my main need of help is discovering the equation that links launch velocity to the distance the elastic band/spring is pulled back.

2. Relevant equations

3. The attempt at a solution

My best attempt so far at the equation starts with measuring the force I aplly to pull back the projectile a certain distance

Then work out acceleration = force/mass (But I don't know what mass to use!)

Which then leads to final velocity (0) = Launch velocity (squared) + 2*acceleration*distance pulled back.

Any help would be greatly appreciated

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# Equation relating launch velocity to distance pulled back.

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