b) Find the exact component forms of a and w. Then find the exact velocity of th

Question

b) Find the exact component forms of a and w. Then find the exact velocity of the airplane as a vector in component form. Also, approximate your answer for the velocity to two decimal places.

c) Find the true speed and direction of the airplane in terms of bearing.

Show work! 1500 points

An airplane heads N60degreeE at a speed of 600mph relative to the air. A wind begins to blow in The direction N3degreeW at 5Omph. Sketch the vectors for the airplane (a) and the wind (w) using the definition of bearing (from north) and each starting from the origin. Please label each with their variable notation. Use the geometric definition of vector addition to show the resulting velocity vector (v).

Explanation / Answer

Here is the solution:

https://drive.google.com/file/d/0BzsApW5yffhsNFR4c3lLV3ZXSTg/edit?usp=sharing

Cheers,

Saurav

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