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Acceleration Calculator

Calculate acceleration from a velocity change and elapsed time. See the formula, every intermediate value, and a copyable, downloadable result.

Velocity may be positive or negative. Time must be a positive number greater than zero. In "Initial & final velocity" mode, both velocities must use the same unit selected above.

What This Tool Does

Use the calculator to find average acceleration from velocity change and elapsed time. It applies a = Δv / Δt, converts the entered units, and reports the result in m/s², ft/s², and g.

Choose a Calculation Mode

Select Direct velocity change when you already know Δv. Select Initial & final velocity when you have both velocity values; the calculator finds Δv = vfinal − vinitial before dividing by time.

Enter Values and Calculate

  1. Select Direct velocity change or Initial & final velocity.
  2. Enter the required velocity value or values, then choose a velocity unit: meters per second (m/s), kilometers per hour (km/h), miles per hour (mph), feet per second (ft/s), or knots (kn).
  3. Enter a positive time and choose seconds, minutes, or hours. Each value must use plain decimal-number syntax and have an absolute value no greater than 1e12.
  4. Click Calculate to display the acceleration and calculation steps.

Read, Copy, or Download the Result

Review the average acceleration and its converted values. Click Copy result to place the plain-text result on the clipboard. If clipboard access fails, the calculator may show “Could not copy - select and copy manually.” Click Download result (.txt) to create a plain-text file.

Reset the Calculator

Click Reset to clear the value fields, restore Meters per second (m/s) and Seconds (s), return to Direct velocity change, clear the error state, and hide the result.

Understand the Sign and Limits

The calculator handles one-dimensional velocity and average acceleration. A negative result follows the positive direction you chose; it does not automatically mean the object is slowing down. Empty fields, invalid plain decimal text, non-finite values, and absolute input values above 1e12 are rejected. Time must also be greater than zero.

The calculation and entered values are handled by the calculator script in your browser and are not submitted by this tool.

Frequently Asked Questions

What is the formula for acceleration?

Acceleration equals the change in velocity divided by elapsed time: a = Δv / Δt, where Δv = vfinal − vinitial.

What units does this calculator support?

Velocity can be entered in meters per second, kilometers per hour, miles per hour, feet per second, or knots. Time can be entered in seconds, minutes, or hours. The result is shown in m/s², ft/s², and multiples of standard gravity (g).

What does a negative acceleration mean?

A negative acceleration means the object is slowing down (decelerating) or accelerating in the opposite direction from the one you defined as positive. The sign depends entirely on which direction you treat as positive.

Does this calculator account for direction (vectors)?

No. This calculator treats velocity as a single signed number along one axis (1D motion). It does not resolve 2D or 3D vector components.

Can I calculate acceleration from initial and final velocity instead of a direct change?

Yes. Switch to the Initial & final velocity mode, enter both velocities in the same unit, and the calculator computes Δv = vfinal − vinitial before dividing by time.

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