AP Physics 1 Question 419: Answer and Explanation

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Question: 419

7. Question below refers to the following scenario:

An explorer travels 30 m east, then 20 m in a direction 45° south of east, and then 140 m north.

What is the displacement of the explorer?

  • A. 130 m
  • B. 169 m
  • C. 170 m
  • D. 215 m

Correct Answer: A



The displacement is equal to the change in position of the explorer. The horizontal and vertical components of the explorer's displacement can be calculated as follows:

The displacement of the explorer then is the magnitude of the vector :