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  • Calculating Acceleration: A Step-by-Step Guide (30s, 7 m/s, 54 m/s)
    Here's how to solve this problem:

    Understanding the Concepts

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

    * Initial Velocity (vi): The starting velocity of the object (7 ms in this case).

    * Final Velocity (vf): The velocity the object reaches after a certain time (54 ms in this case).

    * Time (t): The duration over which the acceleration occurs (30 s in this case).

    Formula

    The formula for acceleration is:

    acceleration (a) = (vf - vi) / t

    Calculations

    1. Convert units: Make sure all units are consistent. Since time is in seconds, we need to convert the velocities to meters per second (m/s). I'm assuming "ms" means "milliseconds," so we'll convert them to seconds:

    * 7 ms = 0.007 s

    * 54 ms = 0.054 s

    2. Plug in the values:

    * a = (0.054 m/s - 0.007 m/s) / 30 s

    3. Solve for acceleration:

    * a = (0.047 m/s) / 30 s

    * a = 0.00157 m/s²

    Answer

    The acceleration of the object is approximately 0.00157 m/s².

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