3

Part of 1900 Eotvos Mathematical Competition

Problems(1)

A cliff is $300$ meters high. Consider two free-falling raindrops such that the

Source: Eotvos 1900 p3

300

meters high. Consider two free-falling raindrops such that the second one leaves the top of the cliff when the first one has already fallen

0.001

millimeters. What is the distance between the drops at the moment the first hits the ground? (Compute the answer to within

0.1

mm. Neglect air resistance, etc.)