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  • Calculating Average Acceleration: A Step-by-Step Guide
    Here's how to solve this problem:

    Understanding the Concepts

    * Velocity: The rate at which an object changes its position. It has both magnitude (speed) and direction.

    * Acceleration: The rate at which an object changes its velocity. It's also a vector quantity.

    * Average Acceleration: The change in velocity divided by the time interval over which the change occurs.

    Formula

    Average Acceleration (a) = (Final Velocity (v_f) - Initial Velocity (v_i)) / Time (t)

    Given Information

    * Initial Velocity (v_i) = +9.5 m/s

    * Final Velocity (v_f) = 0 m/s

    * Time (t) = 3 seconds

    Calculation

    1. Plug the values into the formula:

    a = (0 m/s - 9.5 m/s) / 3 s

    2. Calculate:

    a = -9.5 m/s / 3 s

    a = -3.17 m/s²

    Answer

    The average acceleration of the car during this time interval is -3.17 m/s². The negative sign indicates that the acceleration is in the opposite direction to the initial velocity, meaning the car is decelerating or slowing down.

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