mph to ft/s Converter - Mile per Hour to Foot per Second

Conversion derivation

Express both mph and ft/s in the same base unit m/s (meter per second), then cancel the shared base unit.

1. 1

   Rewrite mph in the base unit

   $$1\mathrm{mph}=0.44704m/s$$
2. 2

   Rewrite ft/s in the base unit

   $$1ft/s=0.3048m/s$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{mph}& =\frac{0.44704\cancel{m/s}}{0.3048\cancel{m/s}}\times 1ft/s\\ & =\frac{0.44704}{0.3048}ft/s\\ & =1.46666666667ft/s\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1ft/s& =\frac{0.3048\cancel{m/s}}{0.44704\cancel{m/s}}\times 1\mathrm{mph}\\ & =\frac{0.3048}{0.44704}\mathrm{mph}\\ & =0.681818181818\mathrm{mph}\end{array}$$