# Aircraft motion as vectors

6. An aircraft of top speed 340 km per hour sets a course to the north-east but, owing to the prevailing wind, its actual speed relative to the ground is 450 km per hour in a direction of 40° east of north. Using analytical and graphical methods:

a. Represent the aircraft motion as vectors

b. Find the direction and the speed of the winds

https://brainmass.com/math/vector-calculus/aircraft-motion-vectors-540883

#### Solution Preview

Velocity of aircraft in no wind va/w = 340 km/hr to North == 340j

Let us assume velocity of wind with respect to ground vw/g = vx.i + vy.j

Because of wind, aircraft velocity with respect to ground, va/g = ...

#### Solution Summary

Using analytical and graphical method, an aircraft motion is analysed, in a condition where wind is blowing in a direction different from aircraft motion.

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