Here's why:
* Instantaneous Acceleration: This is the acceleration at a specific moment in time. It's the rate of change of velocity at that instant.
* Average Acceleration: This is the overall change in velocity over a period of time, divided by the time interval.
Constant Acceleration
If the acceleration is constant, it means the velocity is changing at a steady rate. In this case:
* The instantaneous acceleration will be the same at every point in time.
* The average acceleration calculated over any time interval will be equal to the constant instantaneous acceleration.
Example:
Imagine a car accelerating at a constant 5 m/s². This means:
* At every moment, the car's instantaneous acceleration is 5 m/s².
* If we measure the car's velocity change over 10 seconds, the average acceleration will also be 5 m/s².
Non-Constant Acceleration
If the acceleration is not constant, the instantaneous acceleration will change over time. This means the average acceleration over a period will be different from the instantaneous acceleration at any specific moment within that period.
