Jeffrey Ladino
COM 1370 - Graphics
Quarter Project Proposal

I will program a 2D bouncing ball animation within a graphics window.
This ball will have perfectly elastic collisions with the walls of the
window.  The user will be able to set the starting position of the ball
and the slope of the line upon which he wishes the ball to initially
travel. The ball will first be drawn in the starting position and then
follow the trajectory described by the slope.  This trajectory will change
only when the ball "bounces" up against one of the walls of the drawing
window.

I will approach this problem in a creative way.  When the ball encounters
a wall, I will continue plotting the ball upon its initial trajectory, but
change the matrix that is used to plot it upon the screen.  Depending upon
where the ball is on its trajectory, reflections and/or translations will
be added into the display matrix for the ball.  In this way the line
equation describing the motion of the ball is never altered, just the
matrix to display the ball on the screen is changed.

Once the bouncing ball animation is complete, I may add extra complexity
if time allows.  I would like to allow the user to add more than one ball
to the window.  Then each ball will need to be checked for collisions, not
only with the walls, but each other also.  Also I would like to add spin
to the balls as well.  A design can be placed within the ball so that the
user can see the ball spin.  This will require an extra calculation to
change the spin at each collision.