A jet airliner moving at 600 mph due east moves into a region where the wind is blowing at 120 mph in a direction 30.0 $\degree$ north of east. What is the new speed and direction of the aircraft?
A) 706 mph, 5.67 $\degree$N of E
B) 620 mph, 5.67 $\degree$ N of E
C) 706 mph, 4.87 $\degree$N of E
D) 588 mph, 4.87 $\degree$ N of E

Question

Quizplus · Accepted Answer

The resultant speed and direction can be calculated using vector addition. The eastward component of the wind is 120 mph * cos(30°) and the northward component is 120 mph * sin(30°). Adding these to the plane's velocity gives a resultant speed of approximately 706 mph and a direction of approximately 4.87° north of east.

A Jet Airliner Moving at 600 Mph Due East Moves °\degree°

A Jet Airliner Moving at 600 Mph Due East Moves $\degree$