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Offline Hermit
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Posts: 3,465
#669
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Ment
Uran is right.
Yes, Uran is right, that the ant needs to be driven into a corner.
Ment
v/sqrt(2) + o(v)
No, that's incorrect.
Ment
If the ant moves, the spider should move perpendicularly to the ant's edge.
But why exactly perpendicularly?

Added 1 minute ago
Ment
Although, no, o(v) doesn't seem to be needed. It's better to return to the bisector if the ant changes direction; it will be easier for the spider, and the path will be shorter compared to the one it traveled while deviating from the bisector. It will gain an advantage because of this.
No, and the spider's speed u > v/21/2, and u = v/21/2 are also incorrect answers.

Added 6 minutes ago
I want to clarify that we have an ideal spider that has instant reaction to changes in the ant's velocity vector
Всё не так плохо как Вы думаете. Всё намного хуже!
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