Physics
posted by Rayan
You are traveling on an airplane. The velocity of the plane with respect to the air is 140 m/s due east. The velocity of the air with respect to the ground is 34 m/s at an angle of 30° west of due north.
1)What is the speed of the plane with respect to the ground?
2)What is the heading of the plane with respect to the ground? (Let 0° represent due north, 90° represents due east).
3)How far east will the plane travel in 1 hour?

Steve
just add the vectors:
v = <140,0> + <17,29.4> = <123,29.4>
so the speed is v = 126.47
the heading is 90θ where tanθ=29.4/123
the eastward speed is vcosθ 
Henry
1. 30o W. of N. = 90+30 = 120o CCW from +Xaxis.
V = 140 + 34[120o].
V = 140+34*Cos120 + i34*sin120 = 123 + 29.4i = 126.5 m/s[13.5o]N. of E.
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