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A person walking at 4m/s finds rain drops falling slantwise to his face with a speed of 4m/s at an angle of 30 degrees with the vertical. Show that the actual speed of the rain drops is 4m/s

5 years ago

rupali sehgal
19 Points

Velocity of rain wrt man= 4m/sat an angle 30º with vertical (given)

velocity of man wrt ground = 4m/s

from fig.

velocity of rain wrt man + velocity of man wrt ground = velocity of rain wrt ground (triangle law of vector addition)

so, velocity of rain wrt ground = √(4)2 + (4)2 + 2(4)(4)cos 120

= √ 16+16+32(-0.5)

=√32-16

=√16 = 4m/s

hence proved!

5 years ago
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