Ajet airliner moving initially at 548 mph (with respect to the ground) to the east moves into a region where the wind is blowing at 343 mph in a direction 67◦ north of east. what is the new speed of the aircraft with respect to the ground? answer in units of mph.

Let's choose the "east" direction as positive x-direction. The new velocity of the jet is the vector sum of two velocities: the initial velocity of the jet, which is

along the x-direction

in a direction north of east.

To find the resultant, we must resolve both vectors on the x- and y- axis:

So, the components of the resultant velocity in the two directions are

So the new speed of the aircraft is:

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