Question

Rain is falling vertically with a speed of 30m/ s . A woman rides bicycle with a speed of 10m/ s in the North to South direction. what is the direction in which she should hold her umbrella?

Answer 1

see attachment....hope it will help u

Answer 2

rain is falling vertical with speed = 30m/sec , and woman rides North to South 10m/s .
let north to south direction is in j- component .
and rain fall in K component
we know, for rain- fall concept ,
velocity of rain = - 30k
velocity of woman = -10 j

then, relative velocity of rain with respect to womain = velocity of rain - velocity of woman = -30k -(-10 j ) = 10j -30k

j is positve
and K is negative
rain fall wrt woman is
north to below direction so,

umbrella should be put by woman in South to above direction
at an angle is tan-¹( 1/3)