Question

A train is moving towards east and a car is along north, both with same speed. The observed direction of car to the passenger in the train is

• A. East-north direction
• B. West-north direction
• C. South-east direction
• D. None of the above

Answer 1

The correct option is (B) West-north direction

For a passenger on the train, the car has one velocity component in the north direction due to its absolute motion and another velocity component in the west direction due to relative motion with respect to the passenger (since the train is moving east).

Since both velocities are same:

Angle made by velocity vector with x-axis, $tan\theta =\left(\frac{-v}{v}\right)\Rightarrow \theta ={135}^{\circ }$

i.e. along west- north direction.

Hence, option B is correct