5.6.2 Distance and Displacement

In the study of motion, it is important to distinguish between distance and displacementThe forced removal of people from their land.. While both terms describe the position change of an object, they have different meanings and properties.

Distance

Distance refers to the total length covered by an object during its motion. It is a scalar quantity, meaning it only involves magnitude and does not consider direction, meaning that it is a scalar quantity. Distance is measured along the actual path travelled, regardless of the path's shape or direction. Common units for distance include metres (m), kilometres (km), and miles (mi).

Displacement

Displacement, on the other hand, not only takes into account the total distance travelled but also the direction of the motion. Displacement is a vector quantity because it includes both magnitude (the numerical value) and direction. It represents the straight-line distance and direction from the starting point to the ending point of the motion.

Expressing Displacement

To express a displacement, you need to provide both the magnitude and the direction. The magnitude refers to the numerical value or distance of the displacement, while the direction describes the path in which the object moved. Displacement is typically represented using arrows or vector diagrams, where the length of the arrow corresponds to the magnitude, and the arrow's direction indicates the direction of displacement.

Examples

Let's consider a few examples to better understand the difference between distance and displacement:

• If a person walks 5 kilometres to the east and then returns back to the starting point, the distance covered would be 10 kilometres (5 km + 5 km), while the displacement would be zero since the person ended up at the same position they started from.
• If a car travels 100 metres north, 50 metres east, and then 30 metres south, the total distance covered would be 180 metres (100 m + 50 m + 30 m). However, the displacement would be 20 metres north-east, as it represents the straight-line distance and direction from the initial position to the final position.

Conclusion

In summaryA concise account of the main points, focusing on key differences or similarities., distance is the total length travelled by an object without considering direction, while displacement represents both the magnitude and direction of the straight-line path between the starting and ending points. Understanding the difference between distance and displacement is crucial for accurately describing and analysing motion.