mph vers yd/s convertisseur - Mille par Heure vers Yard par Seconde

Conversion derivation

Express both mph and yd/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 yd/s in the base unit

   $$1yd/s=0.9144m/s$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{mph}& =\frac{0.44704\cancel{m/s}}{0.9144\cancel{m/s}}\times 1yd/s\\ & =\frac{0.44704}{0.9144}yd/s\\ & =0.488888888889yd/s\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1yd/s& =\frac{0.9144\cancel{m/s}}{0.44704\cancel{m/s}}\times 1\mathrm{mph}\\ & =\frac{0.9144}{0.44704}\mathrm{mph}\\ & =2.04545454545\mathrm{mph}\end{array}$$