62.  A pilot flies her route in two straight-line segments. The displacement vector   for the first segment has a magnitude of 244 km and a direction 30.0° north of east. The displacement vector  for the second segment has a magnitude of 175 km and a direction due west. The resultant displacement vector is  and makes an angle q with the direction due east. Using the component method, find the magnitude of  and the directional angle q.

The diagram shows the vectors and their relationships.  So we first find the components for  and

 

 

 

 

Now combine to find x and y-components of the Resultant Vector

 

 

 

Use Pythagorean Theorem and find R and q

 

 

 

 

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This page last updated on January 11, 2020