Question

rain is falling vertically with a speed of 10 root 3 m/s. wind starts blowing after some time with speed of 10m/s in the east to west direction. in which direction should the boy hold the umbrella

Answer 1

Answer:

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:

(12

2

+35

2

)

=37m/sec

the direction of the resultant velocity vector with the vertical

=tan

−1

(

35

12

)=18.92

0

.

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

0

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

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