Random Motion: When the motion of an object is not along a fixed path and changes direction unpredictably, it is called random motion. In this type of motion, the object moves in different directions and covers different distances in equal intervals of time. The path taken by the object cannot be predicted or determined beforehand.

Explanation:

Random motion is commonly observed in the movement of particles in a gas or liquid. The motion of these particles is influenced by various factors such as collisions with other particles or the walls of the container, thermal energy, and external forces.

Key Points:
- Unpredictable path: In random motion, the object does not follow a fixed or predetermined path. Its trajectory can change abruptly and cannot be foreseen.
- Changing directions: The object moves in different directions at different times. It can move forward, backward, sideways, or in any other direction without following a specific pattern.
- Unequal distances: In each interval of time, the object covers different distances. This is because the object's speed and direction can vary, leading to uneven displacements.
- Lack of regularity: Random motion does not have a regular or repeating pattern. The object's movement is irregular and does not exhibit any periodicity or consistency.

Examples:
1. The movement of molecules in a gas: The molecules move randomly, colliding with each other and bouncing off the walls of the container in various directions.
2. A falling leaf: As a leaf falls from a tree, it gets influenced by air currents and changes direction unpredictably.
3. The movement of dust particles in the air: Dust particles move randomly due to the influence of air currents and their small size.

In conclusion, random motion refers to the movement of an object that does not follow a fixed path and changes direction unpredictably. This type of motion is characterized by an unpredictable path, changing directions, unequal distances covered, and a lack of regularity. It is commonly observed in the movement of particles in gases or liquids and other instances where external factors influence the object's motion.

When the motion of an object is not fixed it can move freely in any direction so its random motion.