Question

34.A man is moving on a road with 2 m/s rain is falling vertically at a speed of 5m/s at what angle from the
vertical should he hold umbrella in order to avoid the rain
ON​

Answer 1

Answer:

Let East be along +ve x-axis and vertically up be along +ve y-axis

⇒ Speed of man=  

V  

m

​  

 

​  

=5  

i

^

 

⇒ Speed of wind=  

V  

w

​  

 

​  

=15  

i

^

 

⇒ Speed of  rain relative to wind=  

V  

r

​  

 

​  

−  

V  

w

​  

 

​  

=−20  

j

^

​  

 

⇒ Speed of rain=  

V  

r

​  

 

​  

=15  

i

^

−20  

j

^

​  

 

Now, speed of man relative to  rain=  

V  

m

​  

 

​  

−  

V  

r

​  

 

​  

=5  

i

−(15  

i

^

−20  

j

^

​  

)=−10  

i

^

+20  

j

^

​  

 

Tan of angle from vertical at which the person should hold his umbrella=10/20=1/2

Answer 2

Answer:

18.92°

Explanation:

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