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  • Stopping Distance Calculation: Deceleration of a 3000 kg Car
    Here's how to calculate the stopping distance of the car:

    1. Calculate the acceleration:

    * Newton's Second Law: Force (F) = Mass (m) * Acceleration (a)

    * Rearranging to find acceleration: a = F / m

    * Plugging in the values: a = -3000 N / 3000 kg = -1 m/s²

    * The negative sign indicates deceleration (slowing down).

    2. Calculate the stopping time:

    * Constant Acceleration Equation: v_f = v_i + at

    * v_f = final velocity (0 m/s since the car stops)

    * v_i = initial velocity (10 m/s)

    * a = acceleration (-1 m/s²)

    * t = time

    * Rearranging to find time: t = (v_f - v_i) / a

    * Plugging in values: t = (0 - 10) / -1 = 10 seconds

    3. Calculate the stopping distance:

    * Constant Acceleration Equation: d = v_i * t + (1/2) * a * t²

    * Plugging in values: d = (10 m/s) * (10 s) + (1/2) * (-1 m/s²) * (10 s)²

    * Simplifying: d = 100 m - 50 m = 50 m

    Therefore, the stopping distance for the car is 50 meters.

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