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  • Understanding Free Fall: Acceleration and Velocity
    The motion of a freely falling body is a classic example of uniformly accelerated motion. Here's a breakdown of the key aspects:

    1. Acceleration:

    * The most important characteristic is that the body accelerates due to gravity. This acceleration is constant near the Earth's surface and is denoted by g, approximately 9.8 m/s².

    * This means that the velocity of the falling body increases by 9.8 meters per second every second.

    2. Velocity:

    * If the body starts from rest (initial velocity = 0), its velocity increases linearly with time.

    * The equation for velocity at any time 't' is: v = gt

    * This means that the velocity of the falling body increases proportionally to the time it has been falling.

    3. Displacement:

    * The distance the body falls increases non-linearly with time. This is because the velocity is increasing.

    * The equation for displacement at any time 't' is: d = (1/2)gt²

    * This means that the distance the body falls increases quadratically with the time it has been falling.

    Important Considerations:

    * Air resistance: In reality, air resistance plays a significant role in the motion of falling bodies. This force opposes the motion and causes the object to reach a terminal velocity (a constant speed) after a certain time.

    * Assumptions: The above description assumes that the body falls in a vacuum, where air resistance is negligible.

    Overall, the motion of a freely falling body is a simple yet fundamental example of uniformly accelerated motion. Understanding this motion is crucial for many physics concepts and applications.

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