A jet airliner moving at 530 mph due east moves into a region where the wind is blowing at 120 mph in a direction 30° north of east.What is the new velocity and direction of the aircraft?

A) 637 mph,5.41° N of E
B) 642 mph,5.81° N of E
C) 582 mph,8.86° N of E
D) 637 mph,10.2° N of E
E) 502 mph,9.24° N of E

Question

A jet airliner moving at 530 mph due east moves into a region where the wind is blowing at 120 mph in a direction 30° north of east.What is the new velocity and direction of the aircraft?
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A) 637 mph,5.41° N of E
B) 642 mph,5.81° N of E
C) 582 mph,8.86° N of E
D) 637 mph,10.2° N of E
E) 502 mph,9.24° N of E

Quizplus · Accepted Answer

The new velocity is calculated by vector addition of the plane's velocity and the wind's velocity. The resultant velocity is approximately 637 mph, and the direction is about 5.41° north of east.

A Jet Airliner Moving at 530 Mph Due East Moves