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17 January, 18:18

How far will a freely falling object fall from rest in six seconds?

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  1. 17 January, 19:40
    0
    Tabulate, then find the proper equation, then solve.

    vi=0

    vf=?

    t=6s

    a=g=9.8m/s²

    vf=vi+at

    vf=gt

    vf = (find this yourself)
  2. 17 January, 20:04
    0
    Here are two ways to do it:

    Way #1:

    - - You know that gravity accelerates things that are falling freely, adding 9.8 m/s to their speed every second.

    - - After 6 seconds, an object that fell from rest winds up falling at (9.8 x 6) = 58.8m/s.

    - - During that time, its average speed was 1/2 (0 + 58.8) = 29.4 m/s.

    - - In 6 seconds, at an average speed of 29.4 m/s, it covers (29.4 x 6) = 176.4meters.

    Way #2:

    This way only works if you remember the formula for the distance covered during uniform acceleration.

    D = 1/2 (acceleration) (time) ²

    Acceleration = gravity = 9.8 m/s²

    Time = 6 seconds

    D = 1/2 (9.8) (6) ² = 176.4 meters.
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