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 face below the extended part of the hat is 16 cm) will be:
A
m/s
B
m/s
C
10 m/s
D
zero
Text Solution
Verified by ExpertsThe correct answer is:
A
V R/G(x) = 0 , V R/G(y) = 10 m/s
Let, velocity of man = v
tan θ = 
= 
then, v R/man = v (opposite to man)
For the required condition :
tan θ = 
= 
= 
⇒ V = 
= 7.5
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