The formula
m/s = mph × 0.44704
Where the factor comes from — each unit by its definition, then its size in SI:
1 mph = mi / h = 0.44704 m/s1 m/s is the SI unit of speed.
Dividing the two SI sizes gives the factor: 0.44704, exact — every step above is a definition, not a measurement. The reverse factor is 2.23693629205.
Kinematics and energy formulas need speed in metres per second. Road speeds come in km/h or mph, so convert before you square anything: kinetic energy goes with v², so a unit slip is squared too.
Worked examples
- Motorway driving (100 km/h): 62.1371 mph = 27.7778 m/s — 62.1371 × 0.44704 = 27.7778
- A brisk walk (5 km/h): 3.10686 mph = 1.38889 m/s — 3.10686 × 0.44704 = 1.38889
- US highway driving: 60 mph = 26.8224 m/s — 60 × 0.44704 = 26.8224
- A hard-thrown ball: 67.1081 mph = 30 m/s — 67.1081 × 0.44704 = 30
Frequently asked questions
How many metres per second is 1 mph?
1 mph = 0.44704 m/s, exactly, from the unit definitions.
How do I convert metres per second back to miles per hour?
Divide by 0.44704 — or multiply by 2.23693629205: 1 m/s = 2.23693629205 mph.