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Units of a gradient

  1. Oct 23, 2005 #1
    If we plot velocity in ms-1 over time in seconds, the gradient of the curve is acceleration or ms-2.

    If we plot time squared i.e. s x s over distance in metres, what are the units of the gradient? :redface:
  2. jcsd
  3. Oct 23, 2005 #2


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    velocity over time gives: [tex]\frac{ms^{-1}}{s} = ms^{-2}[/tex]
    time squared over distance gives:[tex]\frac{s^2}{m} = s^2m^{-1}[/tex]
    which is just the reciprocal of acceleration.
  4. Oct 23, 2005 #3
    Thank you Fermat, that makes sense for me to a host of other problems I've been having!
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