How would I calculate the arc of a projectile to make realistic gun physics?

[Sea_Pikl (ThyPikl)]

I’m going to be completely honest, I am not too good at math or physics. I am making a bullet module and I want to include realistic physics. I want to pre-calculate the arc in which the bullet will trace, so after the arc has been calculated, the bullet can be fired. How would I do this? Thanks!

[dthecoolest]

The arc is a quadratic equation with 3 input vectors g gravity, v velocity, and an initial position. t is time from starting point.

local function projectileMotionEquation(g, v, initialPosition, t)
--See Ego Mooses tutorial on integrating projectile motion equation
	return 0.5 * g * t ^ 2 + v * t + initialPosition
end

Modeling a projectile's motion

This guide was originally written for scriptinghelpers. The original can be found here. As a somewhat active member of the Scripting Helpers discord one of the most common questions I see is how to have a projectile travel an arc. Most people want to know how to do this for things like basketballs or cannon balls and so forth. Since this is such a popular question I thought it would be worth writing a blog post on it and talking about a few other things we can extend from our findings. Deri…