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24 February, 17:27

The formula that describes an objects motion is given by s=ut+1/2at^2, where s is the distance traveled, u is the initial velocity, a is the acceleration, and t is the time. Which equation represents a in terms of other variables?

A. a=2s-2u/t

B. a=2s+2u/t

C. 2s-2ut/t^2

D. a=2s+2ut/t^2

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Answers (1)
  1. 24 February, 20:15
    0
    We have the following equation:

    s = ut + 1 / 2at ^ 2

    Clear a for the equation:

    1 / 2at ^ 2 = s-ut

    at ^ 2 = 2s-2ut

    a = 2s / t ^ 2-2ut / t ^ 2

    Rewriting:

    a = (2s-2ut) / (t ^ 2)

    Answer:

    An equation that represents a in terms of other variables is:

    C. 2s-2ut / t ^ 2
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