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A person travels 10 km south, then 10 km west, and finally 10 km north. What is

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Question: A person travels 10 km south, then 10 km west, and finally 10 km north. What is his final position relative to the starting point?

Options:

  1. 10 km North
  2. 10 km South
  3. 10 km East
  4. 10 km West

Correct Answer: 10 km West

Solution: 

He ends up 10 km west of his starting point.

A person travels 10 km south, then 10 km west, and finally 10 km north. What is

Practice Questions

Q1
A person travels 10 km south, then 10 km west, and finally 10 km north. What is his final position relative to the starting point?
  1. 10 km North
  2. 10 km South
  3. 10 km East
  4. 10 km West

Questions & Step-by-Step Solutions

A person travels 10 km south, then 10 km west, and finally 10 km north. What is his final position relative to the starting point?
  • Step 1: Start at the initial position, which we can call Point A.
  • Step 2: Move 10 km south from Point A to Point B.
  • Step 3: From Point B, move 10 km west to Point C.
  • Step 4: From Point C, move 10 km north to Point D.
  • Step 5: Now, compare Point D to Point A. Since you moved south and then north, your north-south position is the same as Point A.
  • Step 6: However, you moved 10 km west from Point A to Point C, so you are now 10 km west of Point A.
  • Coordinate Geometry – Understanding movement in a Cartesian plane and how to calculate final positions based on directional movements.
  • Vector Addition – Applying vector addition to determine the resultant position after a series of movements in different directions.
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