Q.

For a man walking towards east with a velocity of 5 km/hr, rain appears to fall vertically down. When the man begins to walk towards west with a velocity of 3 km/hr the rain appears to fall at an angle of 60o to the vertical. The magnitude of velocity of the rain when the man stops walking is

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a

1393

b

1394

c

1396

d

1395

answer is A.

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Detailed Solution

velocity of rain= x i^+yj^

Velocity of man= 5 i^

x-5=0

x= 5

Now, 2nd case, x+3=5+3=8

8y=tan 60; y= 83

Magnitude of velocity of rain= 52+643=1393

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For a man walking towards east with a velocity of 5 km/hr, rain appears to fall vertically down. When the man begins to walk towards west with a velocity of 3 km/hr the rain appears to fall at an angle of 60o to the vertical. The magnitude of velocity of the rain when the man stops walking is