The paradox of an ant on a rope shows that any distance can be overcome Bashny.Net

But not necessarily bystro



Imagine that an ant is at the end of the rubber rope length of one meter, the other end of the rope tied to the car. The ant starts moving - and the car begins to move, too, at the same time. The ant moves at a speed of one centimeter per second, and the car - at a speed of one kilometer per second. It seems impossible that an unfortunate ant one gets to the other end of the rope because the rope is stretched faster than an ant moves.

Well, normal ant and the truth could not be reached. But we ant to be immortal, fuel tank - endless rope - also endless, well, the universe itself is infinite and without any assumptions. Under these conditions, the ant will sooner or later reach the end.

The solution seems impossible, as we imagine an ant and the rope move independently of each other. But bear in mind that the part of the rope, which is behind the ant (it still moves, do not forget), is stretched in the same way as the part of the rope, which is yet ahead of him. Math is hard, but imagine an ant and rope, as something inseparable.

On the second ant is zero at the first end of the rope, and before him - even 100% of the way. In the first seconds of the distance to be traveled ant increases, it is true, but in front of him there is not 100% of the way and less. And the longer path to pass ant percentage, the less it will be - again, as a percentage. Sooner or later, the percentage of the remaining path is zero.

Podchitano that ant oberёt happiness, before reaching the end, after 2, 8 × 1043, 429 seconds. So eager as to the light, little ant!

via factroom.ru