*10.  In reaching her destination, a backpacker walks with an average velocity of

1.34 m/s, due west. This average velocity results because she hikes for 6.44 km with an average velocity of 2.68 m/s, due west, turns around, and hikes with an average velocity of 0.447 m/s, due east. How far east did she walk?

Average velocity is found from

For this problem we know that

 

Times can be found from

  and

Plug these times into the average velocity equation above

 

 

 

Now Cross multiply and we get

 

 

Collecting like terms on opposite sides of “=” sign

 

 

 

 

Solve for

 

 

 

Check?

And

  and

 

 

As we had before so

 

 

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This page last updated on January 11, 2020