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Math & Stats

Acceleration Calculator

Free online acceleration calculator. Solve for acceleration, final velocity, initial velocity, or time using the standard kinematic equation a = (v − v₀) / t.

Solve for

m/s
m/s
s
m/s²

Method

How this calculator works

Acceleration (a) = (Final Velocity − Initial Velocity) ÷ Time, or rearranged: v = v₀ + at, v₀ = v − at, t = (v − v₀) / a.

a = (v - v₀) / t
v = v₀ + a·t
v₀ = v - a·t
t = (v - v₀) / a
  1. Choose what you want to solve for: Acceleration, Final Velocity, Initial Velocity, or Time.
  2. Enter the known values in the corresponding fields.
  3. Click 'Calculate' or values update automatically as you type.
  4. Read the result with its unit displayed below.

FAQ

Frequently asked questions

What is acceleration?
Acceleration is the rate of change of velocity with respect to time. It is a vector quantity with both magnitude and direction. Positive acceleration means speeding up; negative acceleration (deceleration) means slowing down.
What is the formula for acceleration?
The standard kinematic formula is: a = (v − v₀) / t, where v is final velocity, v₀ is initial velocity, and t is the elapsed time.
What are the units of acceleration?
The SI unit of acceleration is meters per second squared (m/s²). In the imperial system it is ft/s². Free-fall acceleration on Earth is approximately 9.81 m/s² (1g).
Can acceleration be negative?
Yes. Negative acceleration (deceleration) occurs when an object is slowing down, meaning the final velocity is less than the initial velocity.
What is the difference between acceleration and velocity?
Velocity measures how fast an object is moving in a given direction (m/s), while acceleration measures how quickly that velocity changes (m/s²).