I' ve been created application, that allows to input physical measures, calculate and show ballistic curve chart. Here is the link to the project:
https://sourceforge.net/projects/free-balistic/
...and some screenshoots:


I hope, that it will be useful for anyone of you.
The project in its current form is just a figment of what I would like to get, because there are some limitations that require the help of an expert in transforming physical patterns. That is what I would like to write about now.
According to what I wrote on the project website: "The aim of this project is to obtain a modification of the calculation that allows you to enter at least the angle of the projection and the strength of the wind."
Ultimately, there should be two additional fields in the program to introduce these quantities. I would like the application to only show a graph in one of the three considered planes, in a 2D view, and that the reading of the size and their analysis with the help of the legend image were intuitive. I need a formula for this purpose, which makes the result of the equation "z =" from the angle "alpha_xz" and includes the vector "Wx". Please, show the derivation, which allows you to develop the pattern for the placement of "Z =" in the "XZ" plane.
I am also asking for tips on how to consolidate patterns for rising and falling in one graph. Perhaps it is possible to transform both given patterns (climb and descent) so that a pattern is created that applies in this particular case, where the ballistic curve is considered in one dimension. The purpose of these applications is, as in most other programs of this type, the creation of a simple to analyze the 2D system, to calculate the height of the projectile after a specified time, possibly also calculating the distance traveled in a straight, horizontal line from the point of ejection. Unlike typical applications, however, the air resistance and wind force should also be taken into account. All this will be combined with a simple to read for the user drawing, presenting the size and 2D vectors used for calculations.
I am asking you, therefore, for the necessary diagrams and formulas to be available.
Greetings.