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

    Understanding the Concepts

    * Acceleration: The rate at which an object's velocity changes.

    * Initial Velocity (v₀): The object's starting velocity (30 m/s in this case).

    * Final Velocity (v): The object's velocity when it comes to a stop (0 m/s).

    * Time (t): The time it takes for the object to stop (5 seconds).

    Formula

    We can use the following formula to find acceleration:

    * a = (v - v₀) / t

    Calculations

    1. Plug in the values:

    * a = (0 m/s - 30 m/s) / 5 s

    2. Calculate:

    * a = -30 m/s / 5 s

    * a = -6 m/s²

    Answer

    The object's acceleration is -6 m/s². The negative sign indicates that the acceleration is in the opposite direction of the object's initial motion, causing it to slow down.

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