Instantaneous velocity is the rate of change of an object's position at a specific moment in time. It is the velocity at a single point on an object's position-time graph.
Average velocity is calculated by dividing the total displacement of an object by the total time taken to travel that distance. Instantaneous velocity, on the other hand, is the velocity at a specific point in time and may differ from the average velocity if the object's speed is changing.
The formula for calculating instantaneous velocity is v = lim Δt→0 Δx / Δt, where v is the instantaneous velocity, Δx is the change in position, and Δt is the change in time.
Instantaneous velocity is represented by the slope of the tangent line to the position-time graph at a specific point. The steeper the slope, the greater the instantaneous velocity.
Instantaneous velocity is important in physics because it allows us to analyze an object's motion at a specific point in time. It is used to determine an object's acceleration and to understand the relationship between position, velocity, and time. It is also crucial in predicting an object's future position and speed.