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  • Calculating Velocity Change of a Falling Object: A Step-by-Step Guide
    Here's how to calculate the change in velocity of the object:

    1. Understand the Concepts

    * Initial Velocity (v₀): The object starts from rest, so its initial velocity is 0 m/s.

    * Final Velocity (v): This is what we need to find.

    * Acceleration due to Gravity (g): This is approximately 9.8 m/s² (downwards).

    * Time (t): The time it takes to fall is 2 seconds.

    2. Use the Relevant Equation

    We can use the following kinematic equation to relate these variables:

    * v = v₀ + at

    3. Substitute Values and Solve

    * v = 0 m/s + (9.8 m/s²)(2 s)

    * v = 19.6 m/s

    4. Change in Velocity

    Since the initial velocity was 0 m/s, the change in velocity is simply the final velocity:

    * Change in velocity = 19.6 m/s

    Therefore, the change in velocity of the 10 gram object is 19.6 m/s.

    Important Note: The mass of the object (10 grams) is irrelevant in this calculation because the acceleration due to gravity is the same for all objects, regardless of their mass.

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