1. Definition
Speed is a scalar quantity that refers to how fast an object is moving, measured as distance traveled per unit of time. Velocity, on the other hand, is a vector quantity that includes both the speed of an object and the direction in which it is moving.

2. Scalar vs. Vector
- Speed is a scalar, meaning it has only magnitude (e.g., 50 km/h).
- Velocity is a vector, which incorporates both magnitude and direction (e.g., 50 km/h North).

3. Formula
- The formula for speed is:
Speed = Distance / Time
- The formula for velocity is:
Velocity = Displacement / Time
Displacement refers to the shortest distance from the initial to the final position.

4. Direction
- Speed does not provide any information about the direction of motion.
- Velocity indicates the direction of motion, allowing for a complete description of the object's movement.

5. Examples
- If a car travels 100 km in 2 hours, its speed is 50 km/h.
- If the same car travels 100 km east in 2 hours, its velocity is 50 km/h East.
Understanding these differences is crucial in physics, as they apply to various real-world scenarios, such as navigation and motion analysis.