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  • Understanding Acceleration: Formula, Calculation & Examples
    Acceleration is the rate of change of velocity over time. Here's how you calculate it:

    Formula:

    * a = (vf - vi) / t

    Where:

    * a = acceleration (usually measured in meters per second squared (m/s²))

    * vf = final velocity (usually measured in meters per second (m/s))

    * vi = initial velocity (usually measured in meters per second (m/s))

    * t = time (usually measured in seconds (s))

    Example:

    Let's say a car starts from rest (vi = 0 m/s) and accelerates to a final velocity of 20 m/s in 5 seconds.

    To calculate the acceleration:

    1. Identify the values:

    * vf = 20 m/s

    * vi = 0 m/s

    * t = 5 s

    2. Plug the values into the formula:

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

    3. Calculate:

    * a = 4 m/s²

    Therefore, the acceleration of the car is 4 m/s².

    Important Considerations:

    * Direction: Acceleration is a vector quantity, meaning it has both magnitude and direction. If an object is slowing down, its acceleration is in the opposite direction of its motion.

    * Constant Acceleration: The formula above assumes constant acceleration. If acceleration is changing over time, you'll need more advanced calculations.

    * Units: Make sure all units are consistent (e.g., meters, seconds) before plugging them into the formula.

    Let me know if you have any other questions!

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