Question

18. Rain is falling vertically with a speed 35 ms' Wind starts blowing after sometime with a speed 12 ms
In cast to west directior. In which direction should a boy hold umbrella if he is not moving?​

Answer 1

Answer:

Hope it will clear  your doubt

Explanation:

Given,

speed of rain  is 35m/s

Speed of wind is 12m/s

The resultant velocity of raindrops will be the vector sum of the raindrop speed (vertical) and the horizontal wind speed.

The magnitude of the resultant velocity of the raindrops is:

   

√(12² + 35²)  = 37 m/sec

the direction of the resultant velocity vector with the vertical

$tan^-1\frac{12}{5} = 18.92 degress$

The umbrella should be pointed in the direction opposite to the resultant velocity of the raindrops.  So it should be in the direction   18.92 degeree

the inclination to the vertical opposite to the direction of wind., towards East.