(b) A remote-controlled toy aircraft is flying horizontally in a wind. Fig. 3.1 shows the velocity vectors, to scale, of the wind and of the aircraft in still air. A north wind velocity 23ms-¹ 54° aircraft velocity in still air 42ms-¹ Fig. 3.1 The velocity of the aircraft in still air is 42 ms¹ to the north. The velocity of the wind is 23ms-1 in a direction of 54° east of south. Determine the magnitude of the resultant velocity of the aircraft.
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Let be the velocity vector of the aircraft in still air:
Let be the velocity vector of the wind:
Let's calculate the magnitude of the resultant velocity of the aircraft:
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