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Units and Dimensions

How to find r...

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How to find relative velocity of rain with respect to man if rain is already falling at an angle theta with the vertical

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Q. A man running at a speed of

5 k m p h

find, that the rain falls vertically. When he stops running, he finds that the rain is falling at an angle of

60^{0}

with the horizontal. The velocity of rain with respect to running man is:

Q. A standing man, observes rain falling with velocity of

20 m / s

30^{\circ}

with the vertical. Find the velocity with which the man should, moves so that rain appears to fall vertically to him.

Q. A standing man observes rain falling with the velocity of

20 m s^{- 1}

30^{o}

with the vertical.
a. Find the velocity with which the man should move so that rain appears to fall vertically to him.
b. Now if he further increases his speed, rain again appears to fall at

30^{o}

with the vertical. Find his new velocity.

Q. A man at rest observes that rain is falling vertically downwards. When he moves with a velocity of

3 km/h

, he holds an umbrella at an angle of

37^{\circ}

from the vertical to avoid rain. The velocity of the rain with respect to man is

Q. A man is walking due west at the rate of

4 k m / h

and the rain is falling at an angle of

30^{\circ}

east of vertical with a velocity of

6 k m / h

. The velocity of the rain relative to the man will be

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