Velocity:
Velocity is a fundamental concept in physics that describes the rate at which an object changes its position. It is a vector quantity, meaning it has both magnitude and direction. In simpler terms, velocity tells us how fast an object is moving and in which direction it is moving. To calculate velocity, we need to know both the object's speed and the direction in which it is moving.

Acceleration:
Acceleration, on the other hand, is the rate at which an object changes its velocity. It is also a vector quantity and is defined as the change in velocity per unit of time. Acceleration can occur in various forms, such as speeding up, slowing down, or changing direction. Like velocity, acceleration also has both magnitude and direction.

Differences:
1. Definition: Velocity represents the rate of change of displacement, while acceleration represents the rate of change of velocity. In other words, velocity tells us how an object's position changes over time, whereas acceleration tells us how an object's velocity changes over time.

2. Units: Velocity is measured in units of length per unit time, such as meters per second (m/s) or kilometers per hour (km/h). Acceleration is measured in units of velocity per unit time, such as meters per second squared (m/s²) or kilometers per hour per second (km/h²).

3. Representation: Velocity is represented by a vector, which includes both magnitude (speed) and direction. It is usually denoted by an arrow with a specific length and direction. Acceleration is also represented by a vector, indicating both the magnitude and direction of the change in velocity.

4. Effect on Motion: Velocity determines the object's overall displacement and how it moves through space. It helps us understand if an object is moving in a straight line or along a curved path. On the other hand, acceleration affects the object's speed or direction of motion. It determines how quickly the object's velocity is changing and in which direction.

5. Relationship: Velocity and acceleration are related but distinct concepts. Acceleration is the derivative of velocity with respect to time. In other words, acceleration is the rate at which velocity changes. If an object's velocity is constant, its acceleration is zero. Conversely, if an object is accelerating, its velocity is changing.

In conclusion, velocity and acceleration are related but different physical quantities. Velocity describes the rate of change in an object's position, while acceleration describes the rate of change in an object's velocity. Understanding these concepts is crucial in analyzing and predicting the motion of objects in physics.

VELOCITY IS THE DISPLACEMENT PER UNIT TIME.
ACCELERATION IS THE RATE OF CHANGE OF VELOCITY.