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  • Calculating Acceleration: Understanding the Role of Velocity Change
    You can't find acceleration using just mass and velocity. You need one more piece of information: the change in velocity over time.

    Here's why:

    * Acceleration is the rate of change of velocity. It tells you how quickly an object's velocity is changing.

    * Mass is the amount of matter in an object. It doesn't directly tell you about changes in motion.

    * Velocity is the speed and direction of an object. It tells you where the object is going, but not how quickly its motion is changing.

    To calculate acceleration, you need:

    1. Initial velocity (v₁): The velocity of the object at the beginning of the time interval.

    2. Final velocity (v₂): The velocity of the object at the end of the time interval.

    3. Time interval (Δt): The amount of time over which the velocity changed.

    Formula for acceleration:

    ```

    acceleration (a) = (final velocity (v₂) - initial velocity (v₁)) / time interval (Δt)

    ```

    Example:

    A car starts at rest (v₁ = 0 m/s) and accelerates to a final velocity of 20 m/s in 5 seconds (Δt = 5 s). What is the car's acceleration?

    ```

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

    a = 4 m/s²

    ```

    Therefore, the car's acceleration is 4 meters per second squared.

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