Problem 761
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Don't ask for hints how to solve a problem
Don't start a new topic for a problem if there already exists one
See also the topics:
Don't post any spoilers
Comments, questions and clarifications about PE problems.

 Posts: 3
 Joined: Fri May 15, 2015 9:51 pm
Problem 761
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.
Re: Problem 761
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.davidkerr 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.

 Posts: 3
 Joined: Fri May 15, 2015 9:51 pm
Re: Problem 761
I think I have spotted my stupidity. An improved strategy for the runner.
Re: Problem 761
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 v_{square} is 5.78859314.
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 v_{square} is 5.78859314.
Re: Problem 761
Nevermind, I have seen my mistake.