Assume a Ball is bouncing and is travelling in the horizontal direction at constant horizontal velocity v.
Also assume that after each successive bounce, the ball is is in the air for half the time of the previous bounce.
We therefore conclude that each bounce covers half the distance of the previous bounce.
If the initial bounce is 1m, how far will the ball travel?
Method 1: Each bounce is half the previous bounce, giving an infinite geometric series, evaluating to a travel distance of 2m.
Method 2: The ball is travelling at a constant velocity so the ball will go on forever.
What is the explanation behind this apparant paradox?