I wanted to know how far an object would go if I threw it in a perfect vacuum with only the force of gravity acting upon it, and seeing as I could not find an equation on the internet, I came up with this:

dA = Fa/F

where

dA = distance attained

Fa = force applied

F = Value of specified object in Newton's Law of Universal Gravitation

I made an example and did a test, which seemed relatively successfully in accordance to the answer to the equation, in account of no vacuum and other more hidden factors.

dA = Fa/F

(Example for earth)

An object of 1kg thrown with a force of 100N 1m from the ground on a perfect body the with a diameter roughly proportional to that of the earth itself.

dA = 100/ 0.000000000005339072 X 1kg x 59736000000000000000000000kG/1^2

If calculation is correct, the object in question should attain a total distance of

1.118846122m ( My experiment involved a football with 100N of force applied, thrown from 1m high and attaining roughly 1m distance.