[BA SW]

I am not inputting any equations, the software is running equations that were programmed into it. The video just shows how to run the simulation in SolidWorks. So I am just setting up the variables in the video.
It just runs the equations for projectile motion.
The x component is constant and can be calculated by trigonometry. Just split up the x and y components of the initial force. Then it knows the y component and acceleration due to gravity.
You could equally solve the same thing that is being simulated by hand.

This simulation, however, shows you a visual representation and could be faster if you need to keep making iterations. The simulation could be made more accurate by accounting factors like drag by applying an additional force into the simulation. I am also trying to put together a video of how the software can optimize the values of the force so the ball hits the target. This is like asking the software to work backwards and solve the inputs for what you want it to do.

I hope I have answered your question. Please let me know if you want me to clarify a few things.