How To Improve Physics "Bouncing" Function

Hi,
So, im trying to create a physics engine from scratch, so I decided to start with a basic 1 dimensional bouncing object, here is what I have so far:

#include <iostream>

using namespace std;

float speed = 1;
int mult = 0;
int height2;
int div = 2;

float createObject(float height)
{
		height2 = height;
		while(height2 > 0)
		{
				speed = speed + mult;
				height2 = height2 - speed;
				mult++;
				cout << speed << " " << height2 << endl;
		}
		
		while(div < 10)
		{
				speed = 0;
				mult = 0;
				height2 = 0;
				while(height2 < height/div)
				{
						speed = speed + mult;
						height2 = height2 - speed;
						mult--;
						cout << speed << " " << height2 << endl;
				}
		
				speed = 0;
				mult = 0;
				while(height2 > 0)
				{
						speed = speed + mult;
						height2 = height2 - speed;
						mult++;
						cout << speed << " " << height2 << endl;
				}
				div++;
		}
}


int main()
{
		createObject(100);
}

(Sorry if it doesn't compile on GCC/G++, I'm using sourceLair online...)

The object falls from height 100, does a crappy bounce to half the height then SHOULD bounce a third then quater etc, but it gets stuck around a fith and bounces up to 20 repeatedly... Also,it is 1:20 in the morning, so I haven't designed this even to slightly obey any physics laws....

If you have any improvement tips, they will be welcomed warmly! But for now, I NEED TO SLEEP!

L99