Don''t use the offset by "1",just use more little number (for example 0.09)and use the Time reference to contral the speed and FPS.

goddess just one...

initial_y >> can you be more specific .. what (offset by "1") do you mean?

Yes,I will say the "S" means speed of a ball.on the assumption that the ball moving just in its x direction and "X" is its position in x axis.I also assume "Delay" is the delay between Frames.
then the following formula is the method of smooth moving:

X=X+S*Delay

x''s units is pixel;
s''s units is pixel per millisecond;
Delay''s units is millisecond;

For example, I want the ball has a speed 20 pixels per second.Then the actual speed of the ball is:
S = 20/1000 = 0.02 (pixel per millisecond)

How to get the Delay?At the beginning os game loop Use the method GetTickCount() to get current tick count on millisecond---"t0".then before render next frame use this method again--"t1".
Delay = t1-t0
For example Delay = 1000 milliseconds
then X=X+0.02*1000

The offect of this frame is 20 pixels.

However there is a problem ,the frame rate.I will give you the method Sleep().I think you can work out it yourself.







goddess just one...

  float PosX;  //Xpos of whatever you want to move.float SpeedInPixPerSecond = 20.0; //20 pixels pr. second.PosX += SpeedInPixPerSecond * ((float)TimeInMilliseconds/1000.0);  

Same applies for y-axis.