Que Rain is falling vertically with a speed of 35 m / sec. A woman rid

1.	Que Rain is falling vertically with a speed of 35 m / sec. A woman rides a bicycle with a speed of 12 m / sec in east to west direction. What is the direction in Which she should hold her umbrella and also find the velocity of rain with respect to her.
Answer» She should hold the umbrella a little 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.

Que Rain is falling vertically with a speed of 35 m / sec. A woman rides a bicycle with a speed of 12 m / sec in east to west direction. What is the direction in Which she should hold her umbrella and also find the velocity of rain with respect to her.

Answer»

She should hold the umbrella a little 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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