How to integrate an implicit acceleration function to a fitting pair of graphs of velocity and displacement
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Hello!
New to matlab, so sorry if the question appears a bit of dumb
Im currently trying to plot the displacement of a falling pellet which acceleration follows implicit function f = @(t,a) exp((4.33254*w)/(9.81-a) - t/0.1036881 - 0.418/(0.00032*v)) - ((0.013864*v*w)/((9.81-a)*(0.418+0.00032*v)) - (0.00032*v)/(0.418+0.00032*w))
Where v and w are parameters to be adjusted.
The goal here is to first calculate the integral of the function to obtain a velocity function where the initial velocity is equal to 0 when t=0 and then obtain the integral of the velocity function to calculate the displacememt, where x=h (yet another parameter) when t=0 as well
However I struggle to find the correct sets of tools for that
Any advice is appreciated!
The deceleration graph looks somewhat like this btw
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Alan Stevens
le 17 Juin 2024
Look up ode45 for the integration (for a fixed set of parameters) and fminsearch for fitting the parameters to known data.
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