You are on an airplane traveling 30° south of due west at 140 m/s with respect to the air. the air is moving with a speed 31 m/s with respect to the ground due north. 1) what is the speed of the plane with respect to the ground? 126.764 m/s 2) what is the heading of the plane with respect to the ground? (let 0° represent due north, 90° represents due easth).

1) Vp = 127.36 m/s

2) According to the reference given: 252.17°

Explanation:

For the first part, we know that

So, the speed of the plane respect to ground is:

Vp = 127.36 m/s

For the second part, we calculate the angle:

 on the third quadrant. According to the reference given, we need to make 270° - α, so:

The final angle is 252.17°

divide the right side by the left side

0.024÷1.2=0.02 for example

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