Here's a breakdown:

* Velocity: Describes how fast an object is moving and in what direction. It's a vector quantity, meaning it has both magnitude (speed) and direction.

* Acceleration: Measures the rate of change in velocity over time. It's also a vector quantity, meaning it has both magnitude (how much the velocity changes) and direction (the direction of the change in velocity).

Examples:

* A car speeding up: The car's velocity is increasing, so it's accelerating.

* A car slowing down: The car's velocity is decreasing, so it's decelerating (a specific type of acceleration where the velocity is decreasing).

* A car turning: Even if the car maintains a constant speed, its velocity is changing because its direction is changing. This change in direction also constitutes acceleration.

Formula:

Acceleration (a) can be calculated using the following formula:

* a = (v_f - v_i) / t

Where:

* a: acceleration

* v_f: final velocity

* v_i: initial velocity

* t: time taken for the velocity change

Let me know if you have any more questions about velocity, acceleration, or related concepts!