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  • Freefall Distance: Does a Ball Fall the Same Distance Each Second?
    No, the distance a ball falls each second is not the same when falling freely. Here's why:

    * Gravity's Constant Acceleration: The force of gravity causes objects to accelerate downwards at a constant rate (approximately 9.8 m/s² on Earth). This means the ball's velocity increases by 9.8 meters per second every second.

    * Increasing Velocity: Since the ball is constantly accelerating, its velocity is increasing. This means it covers more distance in each subsequent second.

    Example:

    * In the first second, the ball travels a relatively short distance.

    * In the second second, the ball has gained speed, so it travels a greater distance than in the first second.

    * This pattern continues, with the ball covering progressively larger distances each second.

    Formula:

    The distance an object falls due to gravity can be calculated using the following formula:

    * d = (1/2)gt²

    * d = distance

    * g = acceleration due to gravity (9.8 m/s²)

    * t = time

    This formula shows that the distance is directly proportional to the square of the time, meaning the distance increases exponentially as time goes on.

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