An object is moved around a square from point A to point A. Each side of the square measures 10m.(No direction for displacement)
Displacement is defined as the change in position of an object and is a vector quantity, which means it has both magnitude and direction. When an object is moved around a square and returns to its starting point (point A), the overall displacement is zero.
Here's why:
1. **Starting Point and Ending Point**: The object starts at point A and ends at point A after moving around the square.
2. **Calculation**: Displacement = Final Position - Initial Position = A - A = 0.
Even though the object traveled a distance around the perimeter of the square (which would be 40 meters for a square with side lengths of 10 meters), the displacement still remains zero since it ends at the same point where it started.
So, the displacement for the object returning to point A after moving around the square is **0 meters**.
Update (2024-10-02):
To analyze the movement of an object around a square with each side measuring 10 meters, we need to calculate both the distance traveled and the displacement.
1. **Distance**: This is the total length of the path traveled. Since the object moves around the entire perimeter of the square, we calculate the total distance by adding the lengths of all four sides of the square.
\[
\text{Distance} = \text{Perimeter of the square} = 4 \times \text{side length} = 4 \times 10 \text{ m} = 40 \text{ m}
\]
2. **Displacement**: This is the straight line distance from the initial point (point A) to the final point (also point A). Since the object returns to the same point it started from, the displacement is zero.
\[
\text{Displacement} = 0 \text{ m}
\]
In summary:
- **Distance**: 40 meters
- **Displacement**: 0 meters