Acceleration Calculator

Trying to calculate acceleration using known values?

Use my simple and efficient acceleration calculator! Whether you’re a student, educator, or professional, this tool is designed to help you quickly compute acceleration based on various known parameters.

Simply input your initial and final velocities, distance, time, or even force and mass, and let our calculator do the rest. This tool supports multiple units of measurement, ensuring you can work with the data you have without any hassle.

To get started, select the known parameters you have, enter the corresponding values, and choose your desired units. Click on “Calculate,” and you’ll get the acceleration result in the units you prefer. It’s that easy!

Use this calculator to simplify your physics problems, save time, and improve accuracy. Happy calculating!

What are the known parameters?

Initial Velocity ($v_0$) =
Final Velocity ($v$) =
Time ($t$) =
Answer units:

Table of Contents

Important Definitions

  • Initial Velocity (v₀): The velocity of an object at the start of the time period.
  • Final Velocity (v): The velocity of an object at the end of the time period.
  • Distance (d): The total displacement an object travels (x-x0).
  • Time (t): The duration over which the object is moving.
  • Force (F): The push or pull on an object resulting from its interaction with another object.
  • Mass (m): The amount of matter in an object which influences the object’s resistance to acceleration.
  • Acceleration (a): The rate at which an object’s velocity changes over time.
  • Units: The standard measurements used to quantify the inputs and results (e.g., meters per second squared (m/s²), feet per second squared (ft/s²), g-force).

How is Acceleration Calculated Mathematically?

image 29
By Michael Oestreicher – Own work, CC BY-SA 4.0

Acceleration is the rate of change of velocity of an object with respect to time. It is a vector quantity, meaning it has both magnitude and direction. Mathematically, acceleration can be calculated using different formulas based on the known parameters. Here are the key formulas:

Using Initial and Final Velocity and Time:

$$a = \frac{v – v_0}{t}$$

Where $a$ is acceleration, $v$ is final velocity, $v_0$ is initial velocity, and $t$ is time.

Using Initial and Final Velocity and Distance:

(This is how you use an acceleration calculator without time)

$$a = \frac{v^2 – v_0^2}{2d}$$

Where $a$ is acceleration, $v$ is final velocity, $v_0$ is initial velocity, and $d$ is distance.

Using Initial Velocity, Distance, and Time:

(This is how to calculate acceleration with distance and time.)

$$a = \frac{2(d – v_0 t)}{t^2}$$

Where $a$ is acceleration, $d$ is distance, $v_0$ is initial velocity, and $t$ is time.

Using Force and Mass

$$a = \frac{F}{m}$$

Where $a$ is acceleration, $F$ is force and $m$ is mass.