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Instantaneous acceleration is the rate of change of velocity at a specific moment in time. It measures how quickly the velocity of an object is changing at a particular instant.
Instantaneous acceleration can be calculated by dividing the change in velocity by the change in time at a specific instant. This can be represented by the equation a = Δv / Δt.
The average acceleration of an object over a period of time is the overall change in velocity divided by the total time elapsed. In contrast, instantaneous acceleration is the acceleration at a specific moment in time.
Instantaneous acceleration is closely related to both an object's position and velocity. It is the derivative of the velocity function with respect to time, and the second derivative of the position function with respect to time.
The calculation of instantaneous acceleration can be affected by external forces acting on the object, such as friction or air resistance. It can also be influenced by the direction and magnitude of the object's velocity and changes in its position over time.