07 - What is Instantaneous Velocity?, Part 1 (Instantaneous Velocity Formula & Definition)

Learn what instantaneous velocity is, why it is important, and how to calculate it in physics. We begin by discussing average velocity, and demonstrate that the instantaneous velocity at any point in time is the slope of the line tangent to the position-time graph at that point.

Specifically, we take the slope of this line as the limit when the change in time approaches zero. This is explained to be the basic definition of the derivative in calculus 1. Because of this, instantaneous velocity is used heavily in physics, mechanics, and calculus.

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[bardofhighrenown]

Thank you so much! This made the concept so much easier for me to grasp. I think the graphs, seeing ▲x/▲t graphically really made the average and instantaneous velocity click for me and it made the relationship between tangent lines and secant lines also really easy to grasp. Much appreciated!

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