8Rain is falling vertically with a speed of 35 ms1 Winds starts blowin

1.	8Rain is falling vertically with a speed of 35 ms1 Winds starts blowing after sometime with aspeed of 12 m s1 in east to west direction. In which direction should a boy waiting at a bus stophold his umbrella?
Answer» inclined towards the west from the vertical. The drops which are falling a little ahead of the current position of the woman, will fall on her, because she moves in that direction. relative velocity of the rain drops wrt cyclist = velocity of woman - velocity of rain the magnitude of relative velocity the rain drops wrt woman = √(12² + 35²) = 37 m/s direction of relative velocity of the rain drops = = tan⁻¹ (12/35) = 18.92 deg. from the vertical. So the cyclist should hold the umbrella at 18.92 deg to the vertical in the forward direction.

8Rain is falling vertically with a speed of 35 ms1 Winds starts blowing after sometime with aspeed of 12 m s1 in east to west direction. In which direction should a boy waiting at a bus stophold his umbrella?

Answer»

inclined towards the west from the vertical.

The drops which are falling a little ahead of the current position of the woman, will fall on her, because she moves in that direction.

relative velocity of the rain drops wrt cyclist = velocity of woman - velocity of rain

the magnitude of relative velocity the rain drops wrt woman = √(12² + 35²) = 37 m/s

direction of relative velocity of the rain drops = = tan⁻¹ (12/35) = 18.92 deg. from the vertical.

So the cyclist should hold the umbrella at 18.92 deg to the vertical in the forward direction.

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