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): Question by Eric)
Thanks Eric
There are 7 ways with 2 spheres & 3 tests to be done.
a) 3 1  break point = 1
b) 3 1 2  break point = 2
c) 3 1 2  break point = 3
d) 3 5 4  break point = 4
e) 3 5 4  break point = 5
f) 3 5 6  break point = 6
g) 3 5 6  break point unknown
Where number with an underscore means it shatters at that point. Incase g) we are not sure where it will shatter.

Posted by Salil
on 20060508 19:48:21 