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I have an excel spreadsheet that calculates the pressure inside a piston chamber, that is a function of time. I want to calculate the distance the piston moves, this is my situation.

P=F/A, therefore force on piston = PA

F = M(piston).a

so ma = PA, a = P(t)A/m

its all numerical in excel so i have a column of all the accelerations at the different pressures/time steps. By integrating a for velocity, I would just end up with v = PA/m

and integrating that I would end up with s = PAt/m.

Is this correct, it seems that something is not right in this method to get the distance moved by the piston from a numerical analysis?

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# Numerical integration

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