A particle starts from the origin, goes along the X-axis to the point (20m, 0) and then returns along the same line to the point (-20m,0). Find the distance and displacement of the particle during the trip.

Explanation

To solve the problem, we need to calculate both the distance and the displacement of the particle during its trip.

### Step 1: Understand the motion of the particle
The particle starts at the origin (0, 0), moves to the point (20 m, 0), and then returns to the point (-20 m, 0).

### Step 2: Calculate the displacement
Displacement is defined as the straight-line distance from the initial position to the final position, along with the direction.

- Initial position (O) = (0, 0)
- Final position (B) = (-20 m, 0)

To find the displacement:
Displacement = Final position - Initial position
Displacement = (-20 m) - (0 m) = -20 m

The negative sign indicates that the final position is 20 meters in the negative x-direction from the origin.

### Step 3: Calculate the distance
Distance is the total length of the path traveled by the particle, regardless of direction.

1. Distance from the origin to point A (20 m, 0):
- Distance = 20 m (in the positive x-direction)

2. Distance from point A (20 m, 0) to point B (-20 m, 0):
- Distance = 20 m to return to the origin + 20 m to reach (-20 m, 0) = 40 m

Total distance traveled = Distance to A + Distance to B
Total distance = 20 m + 40 m = 60 m

### Final Results
- Displacement = -20 m
- Distance = 60 m