Problem 761

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david-kerr
Posts: 3
Joined: Fri May 15, 2015 9:51 pm

Problem 761

Post by david-kerr »

This problem is driving me up the walls. I fairly easily got 4.60339314 for the circular pool (which is correct) but the same strategy gives 5.90143057 for the square pool. Can someone please confirm that the figure given in the problem for the square pool is correct.
brob26
Posts: 10
Joined: Thu Nov 22, 2018 3:48 am

Re: Problem 761

Post by brob26 »

david-kerr wrote: Wed Jul 14, 2021 8:41 pm This problem is driving me up the walls. I fairly easily got 4.60339314 for the circular pool (which is correct) but the same strategy gives 5.90143057 for the square pool. Can someone please confirm that the figure given in the problem for the square pool is correct.
What exactly do you mean by the "same strategy" between the circle and square cases? It'll likely be valuable to figure out why your supposed solution for the square pool does not actually work.
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david-kerr
Posts: 3
Joined: Fri May 15, 2015 9:51 pm

Re: Problem 761

Post by david-kerr »

I think I have spotted my stupidity. An improved strategy for the runner.
Kaladin1
Posts: 2
Joined: Sun Jul 18, 2021 5:32 pm

Re: Problem 761

Post by Kaladin1 »

I've had a similar problem, but I got a strategy that appears to work for any v<5.82842 (3+sqrt(8)) for the square pool.

The strategy accounts for any actions by the runner, and I'm really struggling to find any errors in my reasoning. Are we sure that vsquare is 5.78859314.
Kaladin1
Posts: 2
Joined: Sun Jul 18, 2021 5:32 pm

Re: Problem 761

Post by Kaladin1 »

Nevermind, I have seen my mistake.
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