Math for Simple Particle Generation with ActionScript 3.0

I was just passing my time and built a simple but pretty nice particle generator in ActionScript 3.0. I assumed the particles to be small projectiles and motion of which are driven by the following equations,

x = x₀ + v_xt

y = y₀ + v_yt – 0.5gt²

where,

x₀ = initial position along x-axis

y₀ = initial position along y-axis

v_x = initial velocity along x-axis

v_y = initial velocity along y-axis

g = acceleration due to gravity

In the demo http://nadimjahangir.net/xp/particle.swf the initial position are set to mouse position. And initial velocities are set randomly.

Particle Generation Demo

This can further be enhanced by adding air friction terms.

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