Acceleration Calculator

Fast, accurate, and free online Acceleration Calculator tool that runs directly in your browser.

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a = (v − v₀) / t

Acceleration is the change in speed with time:a = (v − v₀) / t. Result in m/s². For a standing start, v₀ = 0.

Final speed v [m/s]

Initial speed v₀ [m/s]

Czas t [s]

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Acceleration formula – what is it and how does the calculator work?

Acceleration Calculator is a free online physics tool designed to precisely determine the acceleration of bodies in uniformly variable motion. Acceleration is one of the most important kinematic quantities in physics, determining how quickly the speed of a moving object changes per unit of time. We encounter the concept of acceleration every day - while driving a car, in aviation, in sports and when examining the forces acting on elevator passengers.

Manually converting units and dividing by time can be complicated. Our calculator performs all these operations automatically, giving the result in the standard SI unit - meters per second squared (m/s²).

Physical formula for acceleration

Average acceleration is defined as the ratio of the change in velocity to the time in which this change occurred. The basic physical formula is:

a = (Δ v) / (Δ t) = (v_k- v_p) / (t)

Where the individual symbols mean:

a:Acceleration.
Δ v:Change in speed, i.e. the difference between the final speed (v_k) and the initial speed (v_p).
t:The time at which the speed change occurred.

Summary of accelerations in nature and technology (Table)

Object / Phenomenon	Typical acceleration	Duration / Characteristics
Gravitational acceleration	9.81 m/s² (approx. 1g)	Constant acceleration acting on all bodies in free fall on Earth.
City car (0-100 km/h)	2.5 m/s²	Average acceleration during dynamic start (time approx. 11 seconds).
Sports car (e.g. Tesla Model S Plaid)	13.8 m/s² (approx. 1.4g)	Extreme electric acceleration (0-100 km/h in approx. 2 seconds).
Space Shuttle Launch	29.4 m/s² (approx. 3g)	Acceleration acting on astronauts during launch into space.
Car accident (collision at 50 km/h)	over 300 m/s² (approx. 30g+)	Momentary, extremely dangerous overload acting in a fraction of a second.

Step by step: how to calculate acceleration? Examples

Let's look at two practical examples of how to calculate acceleration.

Example 1: Car acceleration (0-100 km/h).A sports car accelerates from a standing start (v_p= 0) to a speed of 100 km/h in t = 4 seconds. What is the average acceleration of this car?

First, we convert the speed unit from km/h to m/s: 100 km/h / 3.6 ≈ 27.78 m/s.
We use the formula: a = (v_k- v_p) / (t).
We substitute the data: a = (27.78 - 0) / (4) ≈ 6.94 m/s².

Example 2: Train braking (delay).The train travels with a speed of v_p= 72 km/h (20 m/s). The driver brings the train to a complete stop (v_k= 0) at t = 10 seconds. What was the acceleration of the train?

We use the acceleration formula: a = (v_k- v_p) / (t).
We substitute the data: a = (0 - 20) / (10) = -2 m/s².

Frequently asked questions (FAQ)

What does m/s² mean?

The unit meters per second squared (m/s²) is the change in speed (expressed in meters per second) for each second of movement.

What is overload (unit g)?

The unit "g" is the acceleration due to gravity, which averages 9.81 m/s². An overload of e.g. 3g means that the body experiences an acceleration three times greater than Earth's gravity.

What is the difference between accelerated and retarded motion?

In accelerated motion, the velocity of the body increases (positive acceleration). In retarded motion, the velocity decreases (negative acceleration).

How to convert km/h to m/s in memory?

To convert speed from kilometers per hour (km/h) to meters per second (m/s), divide the value by 3.6.

What does Newton's second law say about acceleration?

The formula is: a = (F) / (m) (acceleration is directly proportional to the resultant force F and inversely proportional to the mass m of the body).