Relative Motion: Train, car,Passenger.

Let x axis be along East direction, then y axis is along North direction,

Vtrain = 30 i

Vcar = 40 j

The relative velocity of car with respect to train = Vcar - Vtrain = 40 j  - 30 i.

Hence for the passenger in the train, the speed of car is, √(40² + 30²) = 50 km/hr.

And the direction make, an angle tan^-1 (-4/3) with the direction of train i.e. East

regards,

Team,

TopperLearning.