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  • Calculating Velocity of a Falling Object: A Physics Guide
    Here's how to calculate the velocity of a ball dropped from a rooftop after 3 seconds:

    Understanding the Physics

    * Gravity: The primary force acting on the ball is gravity, which causes it to accelerate downwards. The acceleration due to gravity is approximately 9.8 m/s² (meters per second squared).

    * Initial Velocity: Since the ball is dropped, its initial velocity (v₀) is 0 m/s.

    * Time: The time (t) elapsed is 3 seconds.

    Formula

    We can use the following kinematic equation to find the final velocity (v):

    v = v₀ + at

    Calculations

    * v = 0 m/s + (9.8 m/s²) * (3 s)

    * v = 29.4 m/s

    Answer

    The velocity of the ball after 3 seconds is 29.4 m/s downwards.

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