\section*{Problem 2 - V11232}

From the window (width \(100 \mathrm{~cm}\), height \(85 \mathrm{~cm}\)) of a moving train, raindrops seem to fall in the direction of the window diagonal during complete wind stillness.

How great is the fall velocity of the drops (in \(\frac{m}{s}\)), if the train covers \(3 \mathrm{~km}\) in 3 minutes?
}

Since the train covers \(3000 \mathrm{~m}\) in 180 s, its speed is \(v_{Z}=\frac{3000 \mathrm{~m}}{180 \mathrm{~s}}\). The ratio of the drop speed \(v_{T}\) to the train speed must be equal to the ratio of the window height to its width. Therefore, the drop speed is:

\[
v_{T}=\frac{85}{100} \cdot \frac{3000 \mathrm{~m}}{180 \mathrm{~s}}=14.17 \frac{\mathrm{m}}{\mathrm{s}}
\]