Question

Rain is falling vertically with a speed of 35ms-1.a woman rides bicycle with a speed of 12ms-1 in East to West direction .what is the direction in which she should hold her umbrella?​

Answer 1

Explanation:

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)=37m/s

direction . relative velocity of the rain drops = tan −1

(12/35)=18.92deg from the vertical.

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