Acceleration Calculator
Calculate acceleration from a velocity change, from force and mass, or from distance.
Please note: Results use idealised models — point masses, no air resistance, ideal gases and uniform materials. Real experiments deviate. Use these for study and estimation, not for engineering sign-off.
What the Acceleration Calculator does
Acceleration is the rate at which velocity changes. It appears in three equivalent forms: the change in velocity divided by time, the net force divided by mass from Newton’s second law, and a rearrangement of the constant-acceleration distance equation. All three describe the same quantity.
Formula
a = (v − u) ÷ ta = F ÷ m (Newton’s second law)a = 2(d − ut) ÷ t²g = 9.80665 m/s² (standard gravity)
Inputs explained
| Input | Unit | Required | Notes |
|---|---|---|---|
| Calculate acceleration from | one of 3 options | Yes | — |
| Initial velocity | number | In some modes | Shown Calculate acceleration from is A velocity change over time, or Calculate acceleration from is Distance covered over time. |
| Initial velocity unit | one of 5 options | In some modes | Shown Calculate acceleration from is A velocity change over time, or Calculate acceleration from is Distance covered over time. |
| Final velocity | number | In some modes | Shown Calculate acceleration from is A velocity change over time. |
| Final velocity unit | one of 5 options | In some modes | Shown Calculate acceleration from is A velocity change over time. |
| Distance covered | number | In some modes | Shown Calculate acceleration from is Distance covered over time. |
| Distance covered unit | one of 9 options | In some modes | Shown Calculate acceleration from is Distance covered over time. |
| Time taken | number | In some modes | Shown Calculate acceleration from is A velocity change over time, or Calculate acceleration from is Distance covered over time. |
| Time taken unit | one of 6 options | In some modes | Shown Calculate acceleration from is A velocity change over time, or Calculate acceleration from is Distance covered over time. |
| Net force | number | In some modes | Shown Calculate acceleration from is Force and mass. |
| Net force unit | one of 5 options | In some modes | Shown Calculate acceleration from is Force and mass. |
| Mass | number | In some modes | Shown Calculate acceleration from is Force and mass. |
| Mass unit | one of 6 options | In some modes | Shown Calculate acceleration from is Force and mass. |
How to use it
- Choose Calculate acceleration from.
- Fill in the remaining inputs the form shows for your choice.
- Select Calculate.
Worked example
A car goes from rest to 100 km/h in 8 seconds.
- Initial velocity
- 0 km/h
- Final velocity
- 100 km/h
- Time
- 8 s
100 km/h is 27.7778 m/s, so a = 27.7778 ÷ 8 = 3.4722 m/s², about 0.354 g. It covers 111.11 m doing it.
Frequently asked questions
What does acceleration in "g" mean?
It expresses acceleration as a multiple of Earth’s gravity, 9.80665 m/s². At 1 g you feel your own body weight pressed sideways; sustained 9 g is the limit for a trained pilot in a g-suit.
Can acceleration be negative?
Yes. A negative value means acceleration points opposite to the motion, slowing the object. It is still acceleration — deceleration is just the everyday word for it.
Why does the distance method need the initial velocity?
Because distance depends on both the starting speed and the acceleration. An object already moving covers ground even with zero acceleration, and that has to be subtracted out.