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What I did was start by finding out how much force the air from the tank would exert on the projectile. So I used Pascal's Law: F (newtons) = Pressure (pascals) * Area (metres^2).

120 psi is roughly 827371 pascals

The area (m^2) - 0.004^2*pi = approx. 5*10^-5 (1/20000 or 0.00005)m^2

So F = 827371*0.00005

F = 41.37N

Then I put that into F = ma to find the acceleration:

a = F/m

a = 41.37N / 0.004kg

a = 10342.5 m/s

So I have the acceleration, but how can I find how lond it accelerates for? It travels (under pressure) down the barrel for 0.8 metres, is there a calculation I can use to find the speed?

Thanks for any help.