*11. mmh The earth moves around the sun in a nearly circular orbit of radius 1.50 x 1011 m. During the three summer months (an elapsed time of 7.89 x 106 s), the earth moves one-fourth of the distance around the sun. (a) What is the average speed of the earth? (b) What is the magnitude of the average velocity of the earth during this period?

Average speed would be the path length divided by time elapsed.  The path length will be one-fourth of a circle  so

 

 

Now the magnitude of the average velocity is the vector displacement divided by elapsed time.  The vector displacement is represented by S in the diagram and it is the hypotenuse of the right triangle with the other two sides being radius R.

 

 

 

 

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This page last updated on January 11, 2020