Speed Conversion: MPH to m/s - 15m/h-1

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The discussion clarifies the conversion between miles per hour (15 m/h) and its alternative notation (15 m h-1). It establishes that both expressions represent the same speed, emphasizing that dividing by the power of a quantity is equivalent to multiplying by its negative power. The mathematical principle illustrated is that mi/h can be expressed as mi h-1, and similarly, ft/s2 can be represented as ft s-2.

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JamesBX
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Ok for the life of me i can't remember how you get from say 15 miles per hour (15m/h) to 15mh-1?
 
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Do you mean: 15 m/h to 15 m h-1?

There is no conversion there, it's just a different way to write the same thing. Dividing by the power of a quantity is the same as multiplying by the negative power, so
mi / h = mi h-1 (because you can read h as h1) and for example ft / s2 (as an acceleration) would be ft s-2.
 
really no where to go.

\frac 1 x = x^{-1}
 

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