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Rain is falling vertically downwards. To a man running east-wards, the rain will appear to be coming from

  • A.East
  • B.West
  • C.Northeast
  • D.Southeast

Answer: A

The rain will appear to come from the east, that is from in front of him.

Relative velocity of rain with respect to the man is \(\vec{v}_{rain} - \vec{v}_{man}\). Subtracting his eastward velocity adds a westward component to the rain's downward velocity, so the apparent direction tilts towards the east - which is why one leans an umbrella forward when walking in rain.

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