2D Physics Simulation

This is a simple simulation of 2D physics for a system of elastic collision between circles. This is intended for use in a GameDev Club workshop, essentially an hour long presentation teaching new to intermediate programmers how to create something like this.

Because it is intended to be taught at a GameDev workshop, the code was made very simple, with all objects being circles of equal radius, and all collisions assuming perfect elastic collision, with all objects having a mass of 1.

Recall that the formula for perfect elastic collisions is m1*v1i + m2*v2i = m1*v1f + m2*v2f, and since this simulation assumes a mass of 1 for all objects, this just becomes v1i + v2i = v1f + v2f, or in other words, objects in this simulation just swap velocities when they collide.