what is velocity

Velocity is a vector

It has speed and direction

To measure it in your car you need BOTH the speedometer AND a compass.

Its magnitude is the speed, how far you go per unit time.

a velocity is the rate of change of displacement with time

Sure, that is fine. I did not know you were at the calculus level.

Velocity is a measure of the rate at which an object changes its position. It describes the speed and direction of an object. To calculate velocity, you need to know both the displacement and the time taken.

The formula for velocity is:

Velocity = Displacement / Time

Here, displacement refers to the change in position of the object, and time is the duration over which the displacement occurs.

To calculate the velocity of an object, follow these steps:

1. Determine the initial position (x₁) and the final position (x₂) of the object.
2. Calculate the displacement by subtracting the initial position from the final position: Displacement (Δx) = x₂ - x₁.
3. Determine the time (t) it takes for the displacement to occur.
4. Divide the displacement by the time to find the velocity: Velocity = Displacement / Time.

Make sure to use consistent units of measurement for both displacement (e.g., meters) and time (e.g., seconds) to get the velocity in the correct units.