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Rain is falling at the speed of 25√3m/sec vertically. The wind blows west to east at speed of 25m/sec. Find the velocity of rain as experienced by a person standing on the ground .

Rain is falling at the speed of 25√3m/sec vertically. The wind blows west to east at speed of 25m/sec. Find the velocity of rain as experienced by a person standing on the ground .

Grade:11

1 Answers

Arun
25750 Points
6 years ago
The resultant velocity of rain drops will be the vector sum of the rain drop speed (vertical)  and  the horizontal wind speed.

the magnitude of the result velocity of the rain drops =
       √(625*3+625)  = 50 m / sec

the direction of the resultant velocity vector with the vertical
       = tan ⁻¹ (25/25* root(3)) = 30 deg.

The umbrella should be pointed in the direction opposite to the resultant velocity of the rain drops.  So it should be in the direction  30 deg. inclination to the vertical  opposite to the direction of wind., towards West.

or,  60  deg. with the horizontal (West)  towards the vertical.

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