Question

A man who is wearing a hat of extended length of $12$ cm is running in rain falling vertically downwards with speed $10,m/s$ The maximum speed with which man can run , so that rain drops do not fall on his face (the length of his below the extended part of the hat is 16 cm ) will be:

• A. $\frac{15}{2}m/s$
• B. $\frac{40}{3}m/s$
• C. $10m/s$
• D. $0$

Answer 1

The correct option is A $\frac{15}{2}m/s$

We know that a man is wearing a hat of an extended length of $12cm.$ The man is running in the rain and the rain is falling vertically downwards with the speed $10m/s.$

We are given the speed $\left(10m/s\right)$ and we have to find the maximum speed the man can run, so that rain drops don't fall on his face.

$Speed=10m/s$

The extended part of the hat is $16cm$

Extended length $12cm$

$\Rightarrow \frac{12cm}{16cm}=\frac{V}{10m/s}\Rightarrow V=\frac{15}{2}m/s$