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Rain is falling vertically with a speed ...

Rain is falling vertically with a speed of `35 m s^(-1)` . A woman rides a bicycle with a speed of ` 12 m s^(-1)` in east to west direction. In which direction should she hold her umbrella ?

Text Solution

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In figure velocity of rain `overset(rarr)R =overset(rarr)OA=35 ms^(-1)` vertically downards velocity of wind `overset(rarr)V_(w)=overset(rarr)OB ms^(-1)` east to west the magnitude of the resultatn velocity
`v=sqrt(v_(R)^(2)+v_(w)^(2))=sqrt((35)^(2)+(12)^(2)) ms^(-1)`
Hence the boy should hol umbrella bending it towards east making an angle of about `19^(@)` with the vertical
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