Standard gravity
1 g₀ equals 9.80665 m/s², about 32.174049 ft/s². That conventional value is fixed and is not a measurement at your current location.
Convert linear acceleration
Negative values represent acceleration along the negative axis. g₀ uses standard gravity, not your local measured gravity.
Converted amount
1 standard gravity (g₀)
meters per second squared (m/s²)
49.03325velocity change (m/s)
122.583125displacement from rest (m)
A negative acceleration does not always mean slowing down: it depends on the direction of the initial velocity.
Equivalent units
| Unit | Amount |
|---|---|
| meters per second squared (m/s²) | 9.80665 |
| feet per second squared (ft/s²) | 32.1740486 |
| standard gravity (g₀) | 1 |
| gal (cm/s²) | 980.665 |
| milligal (mGal) | 980,665 |
| kilometers per hour per second | 35.30394 |
| miles per hour per second | 21.9368513 |
Displayed values are rounded. CSV uses the available JavaScript numeric precision; it cannot restore precision absent from the input.
Calculations and CSV generation run locally in your browser. No measurement data is uploaded by this tool.
How to use the Acceleration Converter
- 01
Enter an acceleration with its sign and select source and target units. g₀ is the conventional standard-gravity unit.
- 02
Enter a nonnegative elapsed time in seconds to inspect constant-acceleration motion. The displacement estimate assumes the object starts from rest.
- 03
Read the converted amount and scenario outputs. Choose significant digits, copy the conversion, or download its equivalent-unit table.
Examples
A changing road speed
10 mph per second equals 4.4704 m/s². The unit describes the increase in velocity each second, not a speed of 10 mph.
A signed acceleration
At −3 m/s² for 5 seconds, velocity changes by −15 m/s. Starting from rest under the same constant acceleration gives a displacement of −37.5 m along the chosen axis.
Why time is squared
Acceleration describes velocity change per unit time. A velocity unit such as m/s divided by another second becomes m/s². The mph/s and km/h/s choices keep the speed unit inside the numerator, so their factors include the conversion of miles per hour or kilometers per hour to meters per second.
Standard gravity and Gal
The g₀ option uses exactly 9.80665 m/s² as a conventional reference. The Gal unit is one centimeter per second squared; milligal is one thousandth of a Gal. These are useful scales for gravity and geophysical measurements, but the converter does not calculate local gravity from position or altitude.
A simple motion model
With constant acceleration a over duration t, velocity changes by at and displacement from rest is ½at². If an object has a nonzero initial velocity, its full displacement also includes that velocity multiplied by time. Air resistance, changing thrust, rotation, and other time-dependent effects are absent from this model.
What to know
- No local-gravity prediction or accelerometer calibration is provided.
- The motion scenario is one-dimensional and assumes constant acceleration and a start from rest for displacement.
- Decimal and scientific notation are supported; commas and unit text are not. Calculations use JavaScript floating-point numbers and displayed results are rounded.
Common questions
Does negative acceleration always mean braking?
No. A negative value points along the negative axis. It slows an object moving in the positive direction but can speed an object moving in the negative direction.
Is g the same as grams?
No. This tool labels standard gravity g₀. Gram, also often written g, is a mass unit and is not offered here.
Can I use this for angular acceleration?
No. Angular acceleration has units such as rad/s² and needs a separate rotational model.
Does the displacement estimate use my current speed?
No. It assumes an initial velocity of zero. The velocity-change estimate applies regardless of the initial velocity, provided acceleration stays constant.