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  • Understanding the Speed of a Falling Object: Factors & Calculations
    The speed of a falling body is not a single, constant value. It depends on several factors:

    1. Initial Velocity: If the object starts from rest, its initial velocity is zero. But if it is thrown downwards, its initial velocity will be higher.

    2. Time: As the object falls, its speed increases due to gravity. The longer it falls, the faster it gets.

    3. Air Resistance: Air resistance opposes the motion of the falling object. The more air resistance, the slower the object falls.

    4. Gravity: The strength of gravity influences the speed of the falling body. For example, gravity is weaker on the moon, so objects fall slower there.

    In a vacuum (no air resistance):

    * The speed of a falling body increases at a constant rate called acceleration due to gravity (g). On Earth, g is approximately 9.8 m/s². This means that for every second the object falls, its speed increases by 9.8 meters per second.

    * The formula for the speed (v) of a falling body in a vacuum is: v = gt

    * where t is the time elapsed since the object started falling.

    In air (with air resistance):

    * The speed of a falling body will eventually reach a terminal velocity. This is the maximum speed it can attain, where the force of air resistance equals the force of gravity.

    * Terminal velocity depends on the object's shape, size, and mass. For example, a feather has a much lower terminal velocity than a rock.

    Therefore, to calculate the speed of a falling body, you need to consider its initial velocity, the time it has been falling, and the air resistance acting on it.

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