Yeah I thought about those two cases as well, but I agree that they are correct. Perhaps we could make the proof a bit simpler by picking the X direction to be one that the balls never travel perpendicular too (although in fact I can’t even think of a proof that such a direction exists).
Yeah I thought about those two cases as well, but I agree that they are correct. Perhaps we could make the proof a bit simpler by picking the X direction to be one that the balls never travel perpendicular too (although in fact I can’t even think of a proof that such a direction exists).
That wouldn’t help with the first case, because a ball can stop completely. Let’s keep the proof as it is :-)