**Yes, an object can have zero displacement even if it has moved through a distance.**

**Explanation:**

To understand this concept, we need to first define the terms "distance" and "displacement."

- **Distance**: Distance is a scalar quantity that refers to the total length of the path traveled by an object. It is always positive and does not take direction into account. For example, if an object travels 5 meters east, then 3 meters west, the total distance traveled would be 8 meters (5 + 3).

- **Displacement**: Displacement is a vector quantity that refers to the change in position of an object. It takes into account both the magnitude and direction of the change. Displacement can be positive, negative, or zero. For example, if an object travels 5 meters east, then 3 meters west, the displacement would be 2 meters east (5 - 3).

Now, let's consider a scenario where an object moves in a closed loop or returns to its initial position after covering a certain distance.

**Example:**

Suppose a person goes for a jog around a circular track of radius 100 meters. The person starts at point A and completes one full lap around the track, returning to point A.

- **Distance**: The person has covered the entire circumference of the circle, which is given by the formula 2πr (where r is the radius). So, the distance covered in this case is 2π(100) = 200π meters. This distance is positive and non-zero since the person has physically traveled a certain path.

- **Displacement**: Since the person has returned to the initial position, the change in position is zero. Displacement is a vector quantity, and in this case, it is zero because the initial and final positions coincide.

Therefore, in this scenario, even though the person has covered a distance of 200π meters, the displacement is zero because the final position is the same as the initial position.

Hence, it is possible for an object to have zero displacement even if it has moved through a certain distance.

yeah it can be zero if it come back to its original position