Math

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Sorry for repeated questions, but this is my last problem:

s = ut + 1/2(gt)

The "t" for "gt" is squared, and the subject of the formula is "u".

Thank you very much (and please include workings).

  • Math -

    Sorry for wrong problem, it should be:
    (1/2)*(gt)

  • Math -

    when you want a variable to be squared you use this symbol, ^ , which means "raised to".
    in the problem,
    s = ut + (1/2)*(g*t^2)
    s - (1/2)*(g*t^2) = ut
    [ s - (1/2)*(g*t^2) ]/t = u, or
    u = [ s - (1/2)*(g*t^2) ]/t

  • Math -

    I bet you mean:
    s = u t + (1/2) g t^2
    which is a falling object with initial speed down u under gravitational acceleration g. s is distance.
    s - (1/2) g t^2 = u t

    u = [ s - (1/2) g t^2 ] /t
    or
    u = s/t - (1/2) g t

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