Question

43. i) An aeroplane is travelling northward with a velocity of 300 km/ hr with respect to the Earth.

Wind is blowing from east to west at a speed of 100 km/hr. What is the velocity of the aeroplane

with respect to the wind?
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Answer 1

Velocity of plane with respect to the wind = Velocity of plane with respect to the earth - Velocity of the wind with respect to the earth

Treating North as positive y axis

And east as positive x axis

We have,

Velocity of plane with respect to the earth = 300 j

Velocity of the wind with respect to the earth = 100 i

Velocity of plane with respect to the wind = 300 j - 100 i

Answered by an IIT JEE ASPIRANT and all India mathematics OLYMPIAD TOPPER in class 10th