[Alon]

Originally Posted by Ether

You don't need to turn the table into a polynomial. You can use a lookup table, or a carefully-chosen piecewise-linear function.




Gathering empirical data for your specific shooter and using that data as you did is likely the most accurate approach.



Here's a paper for students interested in the physics, math, and computer simulation aspects of this problem: Free-body force diagram, derivation of differential equations of motion, and C pseudo-code for trapezoidal numerical integration.

thank you for your quick response

so a piecewise linear function will be more accurate than a polynomial regression?

and physical calculations will be generally more precise than a table?

thanks for the reading material ill read it!