1. Average Velocity:

* Equation: v = Δx / Δt

* Where:

* v = average velocity

* Δx = displacement (change in position)

* Δt = time interval

2. Instantaneous Velocity:

* Equation: v = dx/dt

* Where:

* v = instantaneous velocity

* dx = infinitesimal change in position

* dt = infinitesimal change in time

3. Velocity from Acceleration:

* Equation: v = u + at

* Where:

* v = final velocity

* u = initial velocity

* a = acceleration

* t = time

4. Velocity from Displacement and Acceleration:

* Equation: v² = u² + 2as

* Where:

* v = final velocity

* u = initial velocity

* a = acceleration

* s = displacement

Key Points:

* Velocity is a vector quantity, meaning it has both magnitude (speed) and direction.

* Displacement is the change in position, while distance is the total length traveled.

* Instantaneous velocity is the velocity at a specific moment in time, while average velocity is the average velocity over a time interval.

* The choice of equation depends on the specific problem and the available information.

It's important to understand the context and the given information to apply the correct velocity equation.