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  • Swimmer Acceleration: Calculating Acceleration from a Push
    Here's how to solve this problem:

    Understanding the Concepts

    * Newton's Second Law of Motion: 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. The equation is: *F* = *m* *a*

    * *F* = net force (in Newtons, N)

    * *m* = mass (in kilograms, kg)

    * *a* = acceleration (in meters per second squared, m/s²)

    Calculations

    1. Identify the knowns:

    * *m* = 70 kg (mass of the swimmer)

    * *F* = 250 N (force applied)

    2. Solve for acceleration (*a*) using Newton's Second Law:

    * *a* = *F* / *m*

    * *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 m/s².

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