Soru
Select the correct answer. A jet plane is traveling with a velocity of 720kilometers/hour due north. There is a crosswind of 40 kilometers/hour from the east. Find the resultant velocity and the direction of the jet plane. A. 720kilometers/hour in the direction of 3.2^circ west of north B. 720kilometers/hour due north C. 721kilometers/hour in the direction of 3.2^circ west of north D. 520kilometers/hour in the direction of 45^circ east of north
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Elit · 8 yıl öğretmeni
Uzman doğrulaması
Cevap
To find the resultant velocity and direction of the jet plane, we can use vector addition. The velocity of the jet plane is represented by a vector pointing due north, while the crosswind is represented by a vector pointing east.Using the Pythagorean theorem, we can find the magnitude of the resultant velocity:
To find the the resultant velocity, we can use trigonometry. Specifically, we can use the tangent function to find the angle between the resultant velocity and the north direction:
Therefore, the correct answer is:C.
in the direction of
west of north