You are studying the effects of gravity on clay spheres. You conjecture that they will shatter... but at what height? You want to find out the smallest integral height in meters from which the clay will fall and shatter.

Unfortunately, you only have four identical clay spheres, at least until the company that makes them starts returning your calls. Also, you only have enough time for 8 tests, during which the general area will be cleared of people. Last time someone did such an experiment, an egg... well, it was messy. Up to what height can you test the effects of gravity on the clay?

(In reply to re(3): Possibly right solution, partial expl. by tomarken)

Duh, of course.  :-P

It wouldn't break at 12 in our example, but regardless, thanks to your reply, I see the obvious now (with regard to the answer to my previous question.) 

Posted by John on 2006-05-04 15:39:43