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21 December, 05:44

Suppose that an object is dropped from a height of h meters and hits the ground with a velocity of v meters per second. Then v

dropped from a height of 42,6 meters, with what velocity does it hit the ground?

Round your answer to the pearest tenth.

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Answers (1)
  1. 21 December, 07:55
    0
    28.9m/s

    Step-by-step explanation:

    The following were obtained from the question:

    H = 42.6m

    g = 9.8m/s2

    To get the velocity, we must first obtain the time take for the object to fall from the height. This can be achieved by:

    H = 1/2 gt^2

    42.6 = 1/2 x 9.8 x t^2

    42.6 = 9.8t^2 / 2

    Cross multiply

    9.8t^2 = 42.6 x 2

    Divide both side by 9.8

    t^2 = (42.6 x 2) / 9.8

    Take the square root of both side

    t = √[ (42.6 x 2) / 9.8]

    t = 2.95secs

    Now we can obtain the velocity as follows:

    V = gt

    V = 9.8 x 2.95

    V = 28.9m/s
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