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  • Calculating Acceleration of a Swimmer After Push-Off: A Physics Guide
    Here's how to solve this problem:

    1. Understand the Concepts

    * Newton's Second Law: This law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Mathematically, this is represented as: F = ma, where:

    * F = Force (Newtons)

    * m = Mass (kilograms)

    * a = Acceleration (meters per second squared)

    2. Apply the Formula

    We know the following:

    * Force (F) = 250 N

    * Mass (m) = 70 kg

    We need to find the acceleration (a). Rearranging Newton's Second Law to solve for acceleration, we get:

    a = F / m

    3. Calculate the Acceleration

    Substitute the values into the equation:

    a = 250 N / 70 kg

    a ≈ 3.57 m/s²

    Answer: The swimmer will accelerate away from the wall at a rate of approximately 3.57 meters per second squared.

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