A person travels 2 km east, then 2 km south, and finally 2 km west. Where is he

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Question: A person travels 2 km east, then 2 km south, and finally 2 km west. Where is he relative to his starting point?

Options:

Correct Answer: At the starting point

Solution:

The person returns to the starting point after these movements.

A person travels 2 km east, then 2 km south, and finally 2 km west. Where is he relative to his starting point?

A person travels 2 km east, then 2 km south, and finally 2 km west. Where is he relative to his starting point?

Step 1: The person starts at a point, which we can call the starting point.
Step 2: The person travels 2 km east. Now, they are 2 km to the east of the starting point.
Step 3: The person then travels 2 km south. Now, they are 2 km east and 2 km south of the starting point.
Step 4: Finally, the person travels 2 km west. This movement takes them back 2 km to the west, which cancels out the 2 km east they traveled earlier.
Step 5: After moving 2 km west, the person is now directly south of the starting point by 2 km.
Step 6: Since the person is 2 km south of the starting point, they are not at the starting point.

Vector Addition – Understanding how to add directional movements to determine the final position relative to the starting point.
Coordinate System – Using a coordinate system to visualize movements in different directions.