36. Soccer player #1 is 8.6 m from the goal (see the drawing). If she kicks the ball directly into the net, the ball has a displacement labeled . If, on the other hand, she first kicks it to player #2, who then kicks it into the net, the ball undergoes two successive displacements,  and . What are the magnitudes and directions of   and ?

 

 

From the Problem we know  ,     and  from the picture are clearly the x and y components and of   points due East while  points due South.  Using the rules of trigonometry we can find of   and  .

 

 is the side of the triangle which is opposite to the given angle, and  is the adjacent side of the triangle.  We must keep this in mind as we use the trig formulas.

 

     and  

 

 

So our answers are

 

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This page last updated on January 11, 2020