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In Physics / High School | 2014-10-06

An airplane flies due north at 100 m/s through a 30 m/s crosswind blowing from east to west. Determine the resultant velocity of the airplane.

Asked by danielleshawty

Answer (3)

Vf=√30²+100² Vf=104 m/s
|Ф|=tan inverse of |100÷30| Ф= 73 degrees
Therefore the resulting velocity of the airplaine is 104 m/s [ 73 degrees N of W]

Answered by HannahLS | 2024-06-10

The resultant velocity of the airplane is 104.4 m/s. ;

Answered by Muscardinus | 2024-06-12

The resultant velocity of the airplane is approximately 104.4 m/s, at an angle of 16.7° west of north. This is calculated using the Pythagorean theorem for vectors representing the airplane's speed and the crosswind. Thus, the overall motion of the airplane is slightly skewed to the west due to the wind.
;

Answered by Muscardinus | 2024-10-10

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