You are traveling on an airplane. The velocity of the plane with respect to the

Question

You are traveling on an airplane. The velocity of the plane with respect to the air is 160 m/s due east. The velocity of the air with respect to the ground is 41 m/s at an angle of 30° west of due north.

1) What is the speed of the plane with respect to the ground? ( I got an answer of about 195 was wrong)

2)What is the heading of the plane with respect to the ground? (Let 0° represent due north, 90° represents due east).

DO SCC m in PLANE TDE 41 mls-,-Velocitg air ground 30 160mls --Vplanetar ra (z fIanL t.air- t- fér. | sin(30) 0 20.5 LaTas soz +20.sz- Iqb.st

Explanation / Answer

Vpa =160m/s j

Va=41(cos(-30)I+sin(-30)j)

=35.5m/s i -20.5m/s j

Vp=139.5m/s j+35.5i

|Vp|=sqrt(139.5^2+35.5^2)=143.9 m/s

Theta=atan (139.5/35.5)=75.7degrees

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