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Chapter 1 Additional Notes 2 Coordinate systems are non-unique. This means that for any situation there is no preferred coordinate system, we will return to this idea when talking about motion in multiple dimensions. So, we can use any coordinate system that we prefer. The coordinates of an individual physical parameter will change, but the overall action will not change. This means that for two different coordinate system, the two systems might not agree on where something started moving from but they will agree on how far it went.

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Consider the two coordinate systems We will label the black coordinate system S while the blue coordinate system is S’.
Let’s say an individual walks 10 paces North (up) according to S. Both system will agree that the person started off at the origin (since that is the same for each), but the final location is different.

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In Cartesian coordinates the final position according to S is (0,10), while for S’ is (6,8).
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