A bird is flying towards north with a velocity `40 km h^-1` and a train is moving with velocity `40 km h^-1` towards east. What is the velocity of the bird boted by a man in the train ?

Options

A. `40sqrt(3)km h^(-1) N-E`
B. `20sqrt(2)km h^(-1) S-E`
C. `40sqrt(2)kmh^(-1) N-W`
D. `40 km h^(-1)S-W`

Answer

c

Explanation

Here `overset(rarr)v_(B)=40 hatj overset(rarr)v_(r )=40 hat I | overset(rarr)b_(B//T)|=overset(rarr)v_(B)-overset(rarr)v_(r )=40 hat j-40 hati=sqrt(40^(@)+40^(@))=40sqrt(2)` km `h^(-1)` north - west