Question

if a train travels in a straight line from city A to B , it cover 1040km.if an aeroplane flies in a curved path between the same cities. how much distance it will cover? why? ​

Answer 1

Answer:

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Answer 2

If the plane has to fly in straight line then he must fly at some angle theta with the AB. And component of velocity of plane in direction of air flow with respect to ground should be zero. i.e. u=vSinθ. From here Sinθ=vu

And component of velocity of plane which will help plane to cover the distance l is vCosθ

So time taken to cover distance l is given by

vCosθl

and Cosθ=1−(vu)2

So time taken from A to B is

v2−u2l

same will be case while returning so total time will be

v2−u22l