You are given two identical balls made of a tough alloy. The hardness test fails if a ball dropped from a floor of a 120-storey building is dented upon impact. A ball can be reused in fresh drops only if it has not been dented in a previous drop. Using only these two identical balls, what is the smallest number of ball drops that will determine the high- est floor from which the ball can be dropped without being damaged?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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You are given two identical balls made of a tough alloy. The hardness test fails if a ball
dropped from a floor of a 120-storey building is dented upon impact. A ball can be
reused in fresh drops only if it has not been dented in a previous drop. Using only these
two identical balls, what is the smallest number of ball drops that will determine the high-
est floor from which the ball can be dropped without being damaged?
Transcribed Image Text:You are given two identical balls made of a tough alloy. The hardness test fails if a ball dropped from a floor of a 120-storey building is dented upon impact. A ball can be reused in fresh drops only if it has not been dented in a previous drop. Using only these two identical balls, what is the smallest number of ball drops that will determine the high- est floor from which the ball can be dropped without being damaged?
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