Another annoying question

[BertieBear]

This one is kinda sciencey and I apologise for any headaches caused.
I don't know the answer to this either

Person A throws a ball to person B (simple so far right?)
Between person A and person B there is a half-way point.
Between person A and the half-way point there is a quarter-way point.
Between person A and the quarter-way point there is an eighth-way point.
Between person A and the eighth-way point... You can see where this is going right? It could go on forever. In fact it could be said that there are an infinite amount of points between person A and person B.

But, if the ball has to pass through an infinite amount of points then how can it ever reach person B?

[BertieBear]

Oh Boy! I miss having these deep but largely incomprehensible discussions! I used to think about this kind of stuff more often but seem to have drifting out of the habit.

I should have called this thread Bored Boffins' Brain Buster

Any other theories?