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The Question:

An airplane is heading due south at a speed of 600km/h. If a wind begins blowing from the southwest at a speed of 100km/h (average), calculate: (a) the velocity(magnitude and direction) of the plane relative to the ground, and (b) how far from its intended position will it be after 10 min if teh pilot takes no correct action. (c) In what direction shoudl the pilot aim the plane so that it will fly due south.

In this particular question I'm having problems setting up the problem. I set my problem up in a cartesian coordinate system, where I put 600 km/h going south are in the negative direction on the y-axis. For the wind I put it in (III) coordinate area. Now to calculate the problem would I use the pythagorean theorem.

Work:

y^2 + z^2= x^2

(100)^2+ (600)^2=608.28 km/h

Is this correct?

Thank You