Re: Axis Transformation, time -> distance

[miloko]

Hi all,

I have a graph, plotted as Force vs. Time. Now, I want to plot the graph as Force vs. Distance. I'm taking distance = 1/2(F/mass)*(t^2). I think this is the right way to do it, but just need some confirmation.

Thanks,
Mike

 

[Tide]

That would work only if the force is constant. Generally, the relation between distance and time is a bit more complicated:

$$x-x_0 = v_0 t + \int_{0}^{t}\int_{0}^{t'}\frac {F(t'')}{m}dt'' dt'$$