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The diagram below indicates three positions to which a woman travels. She starts at position A, travels 3.0 km to the west to point B, then 6.0 km to the north to point C. She then backtracks, and travels 2.0 km to the south to point D.

a) What is the total displacement of the woman from her initial position, A, to her final position, D?

b) What is the total distance traveled by the woman from her initial position, A, to her final position, D?


I will be happy to critique your thinking on this. Remember the definitions of distance (what distance traveled by the feet) and displacement (how far it is from the starting point, and ending point, directly).

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