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Okay, I understand. The question is simply phrased incorrectly. v/sqrt(3) is not sufficient (it won't catch up), and v/sqrt(3) + "a little bit" is too much, because at a speed of v/sqrt(3) + "a little bit"/2, the ant will also be caught. But v/sqrt(3) + "a little bit"/2 is also incorrect, as v/sqrt(3) + "a little bit"/4 is also sufficient to catch it. In short, it's like asking for the smallest number in the interval (0;1), for example... The correct answer is: "Such a speed does not exist". :D
Ничто не возникает из ничего и ничто не пропадает бесследно. Если где-то чего-то убудет, то в другом месте добавится. (Закон сохранения).