Question

If a train travels in a straight line
from city A to B. It covers 1040 km.
If an aeroplane flies in a curved path
between the same two cities, how much
distance will cover? Why?​

Answer 1

Explanation:

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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=

v

u

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

vCosθ

l

and Cosθ=

1−(

v

u

)

2

.

So time taken from A to B is

v

2

−u

2

l

same will be case while returning so total time will be

v

2

−u

2

2l