an airplane flies due north at a speed of 200 m/sec. A west wind blows at 20.0 m/sec. what is the resultant velocity of the airplane?

2020-11-03 2:46 pm
(Hint: Velocity includes both the speed and direction of flight.)


pls explain and thank you in advance.

回答 (3)

2020-11-03 4:24 pm
✔ 最佳答案
Refer to the figure below.

Magnitude of the resultant velocity (speed)
= √(200² + 20²) m/sec
= 201 m/sec

tanθ = 20/200
θ = tan⁻¹(20/200) = 5.71°
Direction of the resultant velocity = N 5.71° E
2020-11-03 3:30 pm
Velocity seen from ground Vsfg = √
200^2+20^2 =  20√
10^2+1 = 201 m/sec NE 
heading angle = arctan Va/Vw = arctan 200/20 = 84.29° NoE  or 5.71° EoN 
2020-11-03 3:21 pm
Get out your E6-B whizwheel and figure it out yourself.  If you have to hide behind chickenshit anonymity for a question like this I'm not going to do the homework for you.


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