An aeroplane has to go from a point to another point

PHYSICS · Multi-part · CBSE · Physics · Motion in a Plane · Motion in a Plane

Problem

An aeroplane has to go from a point AA to another point BB, 500 km500\,\text{km} away, due 30∘30^\circ east of north. Wind is blowing due north at a speed of 20 m s−120\,\text{m s}^{-1}. The steering speed of the plane is 150 m s−1150\,\text{m s}^{-1}. (a) Find the direction in which the pilot should head the plane to reach point BB. (b) Find the time taken by the plane to go from AA to BB.

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