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  • Understanding Average Acceleration: Definition, Formula & Examples
    Average acceleration is the rate of change of velocity over a period of time. It's essentially how much an object's velocity changes on average during that time interval.

    Here's a breakdown:

    * Velocity: Velocity is a measure of an object's speed and direction.

    * Change in Velocity: This is the difference between the object's final velocity and its initial velocity.

    * Time Interval: This is the duration over which the velocity changes.

    Formula:

    Average acceleration (a) is calculated using the following formula:

    ```

    a = (v_f - v_i) / Δt

    ```

    where:

    * a is the average acceleration

    * v_f is the final velocity

    * v_i is the initial velocity

    * Δt is the time interval

    Units:

    The standard unit for acceleration is meters per second squared (m/s²).

    Example:

    Imagine a car starting from rest (initial velocity = 0 m/s) and accelerating to a final velocity of 20 m/s in 5 seconds. To calculate the average acceleration:

    * v_i = 0 m/s

    * v_f = 20 m/s

    * Δt = 5 s

    ```

    a = (20 m/s - 0 m/s) / 5 s = 4 m/s²

    ```

    This means the car's velocity increased by 4 meters per second every second during those 5 seconds.

    Important Note: Average acceleration doesn't tell us how the acceleration varied over the time interval. It's simply an average value for the entire duration.

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