Question

Rain is falling vertically with
a speed of 35 ms'.
A woman rides a bicycle
with a speed of 12 m sin east to west
direction. What is the direction in which
she should hold her umbrella?​

Answer 1

Answer:

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. = 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.

Answer 2

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.

Explanation:

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