Trajectory Of A Billiard Ball

I am taking a computational physics course this semester, and one of my assignment was to plot the trajectory of a billiard ball and use Euler’s method to solve it. Here’s a simple guide for it.

I used MATLAB ( you can view my post on how to install MATLAB on Ubuntu here) for the assignment.

Assumptions –

  • Table is friction less.
  • All collisions are elastic.
  • The table is a square. with origin being the centre of the table.

A 2-D Grid

Whenever the ball strikes either x = 4 or x = -4, its velocity in the x direction is reversed and velocity in y direction remains same.

Similarly, if the ball strikes y = 4 or y = -4, its velocity in the y direction is reversed and the velocity in x direction remains same.

These will be the boundary condition for our code. The initial conditions are from the assignment problem.

Source code

Output

That’s it basically. Nothing impressive, but I was getting bored so decided to blog it down anyway.

Written on February 23, 2019