Calculating Distance and Displacement for 1.5 Rounds
Distance and displacement are two important concepts in physics when discussing the motion of a particle. In this case, we are looking at a particle moving along the boundary of a circle with a diameter of 20m.

Distance Traveled:
- To calculate the distance traveled when the particle completes 1.5 rounds, we need to find the circumference of the circle and then multiply it by 1.5.
- The circumference of a circle can be calculated using the formula: Circumference = π x diameter.
- Substituting the given diameter of 20m, we get Circumference = π x 20 = 20π m.
- Therefore, the distance traveled by the particle in 1.5 rounds would be 1.5 x 20π = 30π m.

Displacement:
- Displacement is a vector quantity that refers to the change in position of an object. In this case, the displacement of the particle after completing 1.5 rounds can be determined by considering the initial and final positions.
- Since the particle completes 1.5 rounds along the boundary of the circle, it ends up at a point opposite to its starting position.
- The diameter of the circle represents the displacement of the particle, which is 20m.
- Therefore, the magnitude of the displacement of the particle after completing 1.5 rounds is 20m.
In conclusion, the distance traveled by the particle when it completes 1.5 rounds is 30π m, while the displacement of the particle is 20m. These values represent the path length covered and the change in position of the particle, respectively.