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Unsure what kind of problem this is

  • #1

Homework Statement


Sydney places three markers at the points (0,0), (1,0) and (0,1) on a sheet of graph paper. She then repeatedly "jumps two of the markers over each other," meaning that the old and new positions are located at four evenly spaced points along a line, as shown. After a while two of the markers are located at (63,-2) and (-108,16). Where is the third?


Homework Equations


I'm not sure what equations I'm supposed to use



The Attempt at a Solution


I graphed it on my graph paper, i'm guessing it has to do something with the distance formula ?

Any tips to begin ?
 

Answers and Replies

  • #2
tiny-tim
Science Advisor
Homework Helper
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Sydney places three markers at the points (0,0), (1,0) and (0,1) on a sheet of graph paper. She then repeatedly "jumps two of the markers over each other," meaning that the old and new positions are located at four evenly spaced points along a line, as shown. After a while two of the markers are located at (63,-2) and (-108,16). Where is the third?
Hi asdfsystema! :smile:

Hint: this is a conservation problem …

when two of the markers move, what is conserved? :wink:
 

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