A person walking at a rate of 3km/hr, the rain falls vertically.when he increases his speed to 6km/hr it appears to meet him at an angle of 30 degrees.What is the speed of rain

Let the velocity of rain be xi + yj

Speed of the rain =

the velocity of man = 3i

The relative velocity between man and rain in case one is vertical

That is

x=3 since relative velocity has only the vertical component.

Case 2

Since the rain is coming at 30 degrees the angle between the relative velocity of rain and man is 150 degree

Therefore

Therefore

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