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  • Calculating Distance of a Falling Object: Factors & Physics
    You need more information to determine how far the ball has traveled after 10 seconds. Here's why:

    * Gravity: The primary factor affecting the ball's distance is gravity. We need to know if the ball is dropped on Earth (where the acceleration due to gravity is approximately 9.8 m/s²) or on another planet with a different gravitational pull.

    * Initial Velocity: Is the ball simply dropped (initial velocity = 0), or is it thrown downwards with some initial speed?

    To calculate the distance, we need the following:

    * Acceleration due to gravity (g): This is specific to the location where the ball is dropped.

    * Initial velocity (v₀): The speed at which the ball is released.

    Here's a formula you can use to calculate the distance (d) if you have the necessary information:

    d = v₀t + (1/2)gt²

    Where:

    * d = distance

    * v₀ = initial velocity

    * t = time (10 seconds in this case)

    * g = acceleration due to gravity

    Example:

    Let's say the ball is dropped on Earth (g = 9.8 m/s²) with no initial velocity (v₀ = 0):

    d = (0)(10) + (1/2)(9.8)(10)²

    d = 490 meters

    So, if the ball is dropped from rest on Earth, it would travel approximately 490 meters in 10 seconds.

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