m/s2\text{m/s}^{2}

meter per second squared

Accelerationexact by definition

The metre per second squared is the SI coherent derived unit of acceleration: a rate of change of velocity of one metre per second, every second. Newton's second law is written in it directly, since one newton accelerates one kilogram at one m/s². Its relation to the base units is exact by definition.

1 m/s2\text{m/s}^{2} 1 m/s2\text{m/s}^{2}

About the meter per second squared

An acceleration of one metre per second squared adds one metre per second of speed with every second that passes, so a car reaching 100 km/h (27.8 m/s) in ten seconds averaged 2.8 m/s². Free fall is 9.81 m/s², lifts are held to roughly 1 to 1.5 m/s² for comfort, and metro trains pull away at about 1 m/s². The ceiling for braking a road car is set by tyre grip rather than brake power: with a friction coefficient near 1 on dry asphalt, no ordinary car can decelerate much beyond 9 or 10 m/s², which is why every emergency stop tops out near 1 g regardless of what the brochure says about the brakes.

This is the unit the kinematics solvers on this site expect, because with metres and seconds throughout, v=u+atv = u + at and s=ut+12at2s = ut + \tfrac{1}{2}at^2 run without conversion factors and F=maF = ma delivers newtons directly. Gravity science keeps a named CGS relative alive: the gal, 1 cm/s² with symbol Gal, honours Galileo, and gravity surveys map anomalies in milligals, each 10⁻⁵ m/s², fine enough to reveal the buried density contrasts that mineral and groundwater exploration look for.

One meter per second squared in every acceleration unit

100,000,000microgal (μGal)
100,000milligal (mGal)
1,000millimeter per second squared (mm/s²)
100centimeter per second squared (cm/s²)
100gal (Gal)
39.3701inch per second squared (in/s²)
3.6kilometer per hour per second (km/h/s)
3.28084foot per second squared (ft/s²)
2.23694mile per hour per second (mph/s)
1meter per second squared (m/s²)this unit
0.101972standard gravity (g)