If a person moves 5 km east and then 5 km south, what is his final position rela

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Question: If a person moves 5 km east and then 5 km south, what is his final position relative to the starting point? (2021)

Options:

Correct Answer: 5 km South-East

Exam Year: 2021

Solution:

The final position is 5 km South-East from the starting point.

If a person moves 5 km east and then 5 km south, what is his final position relative to the starting point? (2021)

If a person moves 5 km east and then 5 km south, what is his final position relative to the starting point? (2021)

Step 1: Start at the initial position, which we can call Point A.
Step 2: Move 5 km east from Point A to reach Point B.
Step 3: From Point B, move 5 km south to reach Point C.
Step 4: Now, we need to find the final position (Point C) relative to the starting point (Point A).
Step 5: To visualize this, draw a right triangle where one leg is 5 km east and the other leg is 5 km south.
Step 6: The distance from Point A to Point C can be calculated using the Pythagorean theorem: distance = √(5^2 + 5^2).
Step 7: Calculate the distance: √(25 + 25) = √50, which is approximately 7.07 km.
Step 8: The direction from Point A to Point C is south-east, since you moved east and then south.

Vector Addition – Understanding how to combine movements in different directions to determine final position.
Coordinate System – Using a coordinate system to visualize and calculate the final position based on directional movements.