Rain is falling vertically downward with velocity `4m//s.` A man is moving horizontally with velocity `3 m//s`, the velocity of rain with respect to man is

Options

A. 5 m/s at an angle `tan^(-1)(4//3)` with horizontal
B. 5 m/s at an angle `tan^(-1)(3//4)` with vertical
C. 5 m/s at an angle `tan^(-1)(4//3)` with vertical
D. Both (a) and (b)

Answer

D

Explanation

Relative velocity of rain w.r.t. main `v_(rm)=?`
`v_(rm)=v_(rg)-v_(mg)=v_(rg)+(-v_(mg))`

`v_(rm)=5m//s, tan alpha =(3)/(4), tan beta =(4)/(3)`
`upsilon_(rm)=5m//s at tan^(-1)((3)/(4))` with vertical or at `tan^(-1)((4)/(3))` with horizontal.