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  • Distance Traveled During Deceleration: Calculating Stopping Distance
    Here's how to solve this problem:

    1. Understand the Problem:

    * We're given the initial velocity (36 m/s).

    * We're given the acceleration (60g, where 'g' is the acceleration due to gravity, approximately 9.8 m/s²).

    * We need to find the distance traveled before coming to a complete stop (final velocity = 0 m/s).

    2. Choose the Right Equation:

    We can use one of the standard kinematic equations:

    * v² = u² + 2as

    where:

    * v = final velocity (0 m/s)

    * u = initial velocity (36 m/s)

    * a = acceleration (-60g, since it's deceleration)

    * s = distance traveled

    3. Convert Acceleration to m/s²:

    * a = -60g = -60 * 9.8 m/s² = -588 m/s²

    4. Plug in the Values and Solve for 's':

    * 0² = 36² + 2 * (-588) * s

    * 0 = 1296 - 1176s

    * 1176s = 1296

    * s = 1296 / 1176

    * s ≈ 1.10 meters

    Therefore, a person traveling at 36 m/s with a constant deceleration of 60g will come to a complete stop after traveling approximately 1.10 meters.

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