Relative And Circular Motion

Physics
Tutor: None Selected Time limit: 1 Day

You are on an airplane traveling 30° south of due west at 160 m/s with respect to the air. The air is moving with a speed 41 m/s with respect to the ground 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)
Sep 10th, 2015

Thank you for the opportunity to help you with your question!

the velocity of the air is 

41*sin30=20.5 m/s  to west

41*cos30 =  35.5 m/s to north 

the velocity of the plane to the ground is thus 

160-20.5 = 139.5 m/s to east and 35.5 m/s to the north 

the speed is sqrt(139.5^2+35.5^2) = 143.9 m/s 

the angle is  atan 139.5/35.5 =  74.2 degrees

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 10th, 2015

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