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brijmohan123456 · Nov 5, 2012, 08:27 AM

To a man going east in a car with a velocity of 40km/h,a train appears to move towards north with a velocity of 40√3 km/h.what is the actual velocity and direction of train ?

ebaines · Nov 5, 2012, 09:09 AM

The relative motion of the train as seen from the car is the difference between the actual velocities of the train and car:

$<br /> \vec v_{relative} = \vec v_{train} - \vec v_{car}<br />$

Rearrange:

$<br /> \vec v_{train} = \vec v_{relative} + \vec v_{car}<br />$

So simply add the two vectors that you were given.