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In this video I calculate the required direction for a plane to fly accounting for the wind velocity such that the ground velocity is due North. I first calculate the wind velocity based on the initial or air velocity and the measured actual ground velocity. Even though a pilot may think they are going due North from the compass, the wind causes the entire plane to drift away from the intended direction. Thus it is important for a pilot to account for the wind velocity.
Timestamps:
Problem 4: Plane flying in wind: 0:00
Solution to (a): Calculating wind velocity: 0:58
Writing components of ground velocity using Trigonometry: 3:56
Determining wind velocity: 7:06
Wind speed = 24.9 km/h: 10:23
Solution to (b): New initial velocity: 11:46
Review of Trigonometric angles: 14:00
Want ground velocity to be due North: 16:28
Equating horizontal components of the wind and initial velocity: 19:24
Desired initial velocity is 4.4 degrees due West of North: 21:12
Ground velocity is a bit slower than in (a): 22:03
Problems Plus 4: Plane Flying in Wind