Numeros
Categories Financial Calculators Health Calculators Math Calculators Date & Time Construction Engineering Physics Business Education Lifestyle Converters Generators
About

Acceleration Calculator

By

Enter initial velocity, final velocity, and time to find acceleration.

Acceleration Calculator

Live
Acceleration
5 m/s²

The formula

Acceleration = (Final velocity - Initial velocity) / Time
Example

Speeding up from 5 m/s to 25 m/s over 4 seconds: acceleration = (25-5)/4 = 5 m/s².

Step-by-step guide

  1. Enter the initial and final velocity.
  2. Enter the time over which that change happened.
  3. Read the acceleration.

What a negative result means

A negative acceleration simply means the object is slowing down (or accelerating in the opposite direction of your chosen positive direction) - it's often called deceleration in everyday language, but physics treats it as just acceleration with a negative sign, following the same formula either way. A braking car, for instance, has negative acceleration if its direction of travel is defined as positive.

Common mistakes

Swapping initial and final velocity - this flips the sign of the result, turning acceleration into deceleration or vice versa.
Assuming constant acceleration when real-world motion often isn't perfectly uniform - this formula gives average acceleration over the given time, not necessarily the acceleration at every single instant.

Frequently asked questions

What does "9.8 m/s²" mean for gravity?

It means a freely falling object on Earth speeds up by about 9.8 meters per second, every single second it falls - after 1 second it's falling at 9.8 m/s, after 2 seconds at 19.6 m/s, and so on, assuming no air resistance.

Is acceleration the same as speed?

No - speed (or velocity) describes how fast something is moving right now, while acceleration describes how quickly that speed itself is changing. An object can move fast with zero acceleration (constant speed) or move slowly while accelerating rapidly.

How is acceleration related to force?

Force causes acceleration, related by Newton's second law (F = ma) - see our Force Calculator to find the force behind a given acceleration, or the acceleration a given force produces.

Related calculators

See the full list of Physics calculators, or try: