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    the unit on y axis is ms^-2, metres per second squared

    the unit on x axis is m^2, metres squared

    The unit of the gradient will be ???

    ms^-2, metres per second squared
    or
    ms, metres per second
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    If I'm not wrong, the value of a gradient won't have units.
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    Are you sure i thought it had to have some form of unit as both the y and x axis do
    I thought the unit of the gradient had to be, delta of the unit of the y axis per delta of the unit of the x axis
    for example a velocity over time graph
    v=ms^-1
    t=s
    Therefore unit of gradient is ms^-1 per s = ms^-2

    So for my graph im getting confused, as i think the unit of the gradient should be
    ms^-2 per m^2 = ?????
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    (Original post by pleasehelp1)
    Are you sure i thought it had to have some form of unit as both the y and x axis do
    I thought the unit of the gradient had to be, delta of the unit of the y axis per delta of the unit of the x axis
    for example a velocity over time graph
    v=ms^-1
    t=s
    Therefore unit of gradient is ms^-1 per s = ms^-2

    So for my graph im getting confused, as i think the unit of the gradient should be
    ms^-2 per m^2 = ?????
    Yes, you do need to quote the units as SI base.

    Gradient = y/x

    using y = ms-2 and x = m2

    converting to SI base to avoid any confusion:

    \frac{y}{x} = \frac{LS^{-2}}{L^{2}}

    \frac{y}{x} = LS^{-2}L^{-2} = L^{-1}S^{-2}

    This looks very much like the SI base units for pressure N/m2 with mass omitted.

    i.e. pressure = F/A = \frac{MLS^{-2}}{L^{2}} = ML^{-1}{S^{-2}}
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    thanks for the help
 
 
 
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