Instantaneous velocity and instantaneous speed

The video tutorial explains the difference between average and instantaneous velocity using the example of a train journey. It highlights that average velocity provides information over a time interval, while instantaneous velocity gives the speed at a specific moment. The concept of instantaneous velocity is defined mathematically as the derivative of displacement with respect to time. The tutorial also demonstrates how to calculate instantaneous velocity graphically by finding the slope of the tangent to the position-time curve at a given point.

What is the difference between average velocity and instantaneous velocity?

How can instantaneous velocity be mathematically defined?

Explain how to compute instantaneous velocity graphically.

What does the slope of the position-time curve represent?

Describe the process to find instantaneous velocity at a specific time.