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# A stationary man observes that the rain strikes him at an angle of 60∘ to the horizontal. When he begins to move with the velocity of 25m/s then the drops appear to strike him at an angle 30∘ from horizontal. The velocity of the rain drops is :

(Explain with diagram)

Asked by shubhkansal75 23rd November 2022, 9:48 PM
When the man is at rest , direction of rain makes angle 60o with horizontal.

Hence relative speed of rain with respect to man, vrel = ( v cos60)   + ( v sin60)
vrel = v [ ( 1/2 ) + ( √3/2) ]
when the man walks with speed 25 m/s , then relative velocity of rain

v'rel =  [ v ( 1/2 ) + 25 ] + [ v ( √3 /2) ]
If the direction of rain makes angle 30o with horizontal when the man walks at a velocity 25 m/s ,

then we have

By solving above expression, we get magnitude of velocity of rain , v = 25 m/s
Answered by Expert 24th November 2022, 12:01 AM
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