Displacement is the distance between the initial and final positions of an object. It can be zero, negative, or positive. Here are examples and explanations of each case:

Zero Displacement:
When an object returns to its starting point, the displacement is zero because the initial and final positions are the same. For example:

- A person walking around a circular track and returning to their starting point.
- A car driving forward and then reversing back to its starting location.
- A pendulum swinging back and forth, ending up at the same position it started.

Negative Displacement:
Negative displacement occurs when an object moves in the opposite direction of its initial position. For example:

- A person walking from point A to point B, then turning around and walking back to point A. The displacement is negative because the final position is behind the initial position.
- A car driving from a city to a town and then returning to the city. If the city was the starting point, the displacement for the entire trip is zero, but the displacement for the segment from the town to the city is negative because the final position is behind the initial position.
- A ball thrown upwards and then falling back down. The displacement during the upward motion is positive, but the displacement during the downward motion is negative because the final position is below the initial position.

Positive Displacement:
Positive displacement occurs when an object moves in the same direction as its initial position. For example:

- A person walking from point A to point B. The displacement is positive because the final position is ahead of the initial position.
- A car driving from a city to a town. The displacement is positive because the final position is ahead of the initial position.
- A ball thrown horizontally. The displacement is positive as long as the ball moves forward.

In conclusion, displacement can be zero, negative, or positive depending on the movement of the object. Zero displacement occurs when the object returns to its initial position, negative displacement occurs when the object moves in the opposite direction, and positive displacement occurs when the object moves in the same direction as its initial position.

Displacement can be 0 , negative or positive
1st case when it is 0 -- If a person travels a distance of 5m around a circle of 5metre then he will reach at the same place so final and starting position is same hence displacement is 0
2nd case when it is positive -- if a person goes 10 metre north then the displacement will simply and obviously be 10metre which is positive
3rd case when it is negative --if suppose ram wants to go south 10 metre but instead he goes 5 metre to north then the displacement will be -5metre which is negative