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  • Distance Traveled During Uniform Acceleration: Physics Problem Solution
    Here's how to solve this problem:

    1. Understand the Concepts

    * Uniform acceleration: The car's velocity increases at a constant rate.

    * Distance: We need to find the total distance traveled during the acceleration.

    2. Identify the Given Information

    * Initial velocity (vi) = 22 m/s

    * Final velocity (vf) = 27 m/s

    * Time (t) = 10 s

    3. Use the Relevant Equation

    The equation that relates distance (d), initial velocity (vi), final velocity (vf), and time (t) for uniformly accelerated motion is:

    d = (vi + vf) / 2 * t

    4. Substitute and Calculate

    * d = (22 m/s + 27 m/s) / 2 * 10 s

    * d = 49 m/s / 2 * 10 s

    * d = 24.5 m/s * 10 s

    * d = 245 m

    Answer: The car moved 245 meters while accelerating.

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