# Units of a gradient

1. Oct 23, 2005

### polyperson

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?

2. Oct 23, 2005

### Fermat

velocity over time gives: $$\frac{ms^{-1}}{s} = ms^{-2}$$
similarly,
time squared over distance gives:$$\frac{s^2}{m} = s^2m^{-1}$$
which is just the reciprocal of acceleration.

3. Oct 23, 2005

### polyperson

Thank you Fermat, that makes sense for me to a host of other problems I've been having!

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