Units of Gradient for s x s vs m

[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?

 

[Fermat]

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?

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.

 

[polyperson]

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