Question

when there is no wind it rains vertically downwards with 3m/s. when wind blows horizontally it appears to rain with 5m/s. the velocity of wind is​

Answer 1

Given :  When there is no wind, it rains vertically downwards with 3m/s. When wind blows horizontally it appears to rain with 5m/s.

To find : The velocity of wind  

Solution:

Rain velocity Vertically  = 3 m/s

Let say horizontal velocity of wind = x  m/s

Resultant Velocity  magnitude =  √3² + x²   m/s  as both are perpendicular to each other

it appears to rain with 5m/s.

Hence √3² + x² = 5

=> 9 + x² = 25

=> x² = 16

=> x = 4  

Hence velocity of wind   is 4 m/s

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