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

    1. Understand the Concepts

    * Initial velocity (u): The car starts at 10 m/s.

    * Acceleration (a): The car accelerates at 5 m/s². This means its velocity increases by 5 meters per second every second.

    * Time (t): We want to find the speed after 3 seconds.

    2. Use the Equation

    The equation that relates initial velocity, acceleration, time, and final velocity is:

    v = u + at

    Where:

    * v = final velocity

    * u = initial velocity

    * a = acceleration

    * t = time

    3. Plug in the Values

    * v = 10 m/s + (5 m/s² * 3 s)

    4. Calculate the Final Velocity

    * v = 10 m/s + 15 m/s

    * v = 25 m/s

    Answer: The speed of the car after 3 seconds would be 25 m/s.

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