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A man wearing a hat of extended length 1...

A man wearing a hat of extended length 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

`7.5(m)/(s)`

B

`13.33(m)/(s)`

C

`10(m)/(s)`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
A

`V_((R)/(G)(x))=0`,`V_((R)/(G)(y)=10(m)/(2)`
Let, belocity of man`=v`
`tantheta=(16)/(12)=(4)/(3)`
`V_((R )/(man)=v`(opposite to man)
For the required condition:
`tantheta=(V_((R )/(M)(y)))/(V_((R)/(M)(X)))=(10)/(v)=(4)/(3)`
`impliesV=(10xx3)/(4)=7.5(m)/(s)`
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