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**Education Calculators** ▶ Acceleration Calculator

Acceleration calculator is a tool that allows you to calculate acceleration corresponding to different acceleration formulas. Yes, calculating acceleration becomes efficient with this tool as it eliminates the risk of error of manual calculations.

The calculator for acceleration not only helps to calculate acceleration, but it also helps you to calculating different parameters corresponding to acceleration. Well, this post assists you to understand how to find acceleration, acceleration formula, and all you need to know about the term “Acceleration.”

So, let’s begin with the basic definition of acceleration in physics!

In physics, we define acceleration as a rate at which the velocity of any object changes with the passage of time. It comes in the category of vector quantities along with magnitude and direction. For example, if any car gets slow down then its acceleration will be in the opposite direction of its motion. Moreover, we can say that whenever the velocity of any object will changes it will be recognized as an accelerating object.

In common English, the word of acceleration is frequently use to represent that state in which speed is increasing. If the speed of any car or object is increasing it will be known as acceleration. On the other hand, if the speed is decreasing it will be known as deceleration. If the direction of any moving object is changing, then it will be recognized as centripetal acceleration.For simple understanding it can be concluded that if the apple is falling then it will be known as accelerating object.

In physics, the concept of acceleration is very vast. Acceleration always have some direction. If a n object is moving up or towards the right side, then the acceleration will be positive. If the object is moving towards left or downwards then it will be considered accelerating negatively.

There are four basic types of acceleration in physics that are described below.

If the speed of any object is not changing and remains constant, then the object will be in uniform acceleration. For example, if the car is moving with same speed for hours.

If the speed is increasing or decreasing with the time, then it will be known as non-uniform acceleration. For example, if a car is moving in a very crowded area then the speed will not remain constant.

It can be explained as the total variation in the velocity in any specific time period that is divided by the total actual time taken by the object to produce a change. It will be represented by ā.

It is explained as the limit of the average acceleration in which the total time is considered to reach zero. It is said to be a derivative of velocity in reference with time.

Standard equation for acceleration represent all those variables that are used in the creation of acceleration formulas. These variables are total time, change in time, initial velocity, final velocity and change in velocity. If we know the values of all theses variables we can use an acceleration calculator to have our final desired output.

Acceleration with distance can be calculated by using the following formula.

**Formula: a = (v2 − u2) / 2s**

a = acceleration,

v = final velocity,

u = starting velocity and

s = distance that is covered among starting velocity and final velocity.

This will be applicable just in case of constant acceleration.

If we have the values of two velocities, then average acceleration formula will be applicable.

**Formula: a=Δv/ Δt**

- a = acceleration
- Δv= change in velocity
- Δt= change in time

In the above formula:

Δv = change in velocity and it can be simplified as Vf – Vi

Δt = change in time and it can be simplified as Tf – Ti

Another formula to calculate the acceleration is to find it via force.

Formula: F = ma

- F = total force
- M = mass
- A = acceleration

Above explained formula can be simplified as following:

- F/m = ma/m
- F/m = a

On rearranging the acceleration equation, we will have: a = F/m.

This formula is usually applicable whenever we need to calculate the magnitude of acceleration.

There are three basic acceleration equations that are described below:

- Average acceleration equation that is acceleration = final velocity – initial velocity / time = change in velocity / time.
- Acceleration equation as a derivative if newton’s law of motion that is F= ma. On rearrangement we will get a = F/m where’s F is representing the force and m is representing the mass of the object.
- Acceleration equation for distance and velocity that is a = 2 * (Δd – v_i * Δt) / Δt². Furthermore, acceleration calculator is that tool which is functioned to follow all these equations automatically.

if we want to calculate acceleration manually then the only thing we need is the formula for acceleration according to the given situations. In such conditions we have to put the units by memorizing them. Another option is the use of acceleration calculator and in this way there is no need to do struggles with the units as it will automatically give answer along with the suitable require units. Some of the unit systems for the acceleration are given below.

when we are doing calculations to have the values of acceleration then it involves division of velocity by time duration. If we see this in terms of SI unit system, it will be division of meter per second by the total second. Division of the distance by change in time two times is similar to dividing the distance by time square. Therefore, according to the international system of units we have “meter per second square” as a unit of acceleration.

- m/s2 = m/s/s = m/s x 1/s

Another frequently used unit for the representation of acceleration is the “standard acceleration due to gravity”. This unit gives an accurate information about the defined value of 9.80665 m/s2.However, in daily routinewe commonly use 9.8 m/s2. or 10 m/s2to make some quick estimations. This unit is commonly represented by a roman g or sometimes by an italic g.

In symbolic form this unit is represented as:

- Gal = cm/s2
- 1000 mGal = 1 Gal

gal is the name of the unit and will be written in lowercase but the symbol of this unit will be written in capital form as Gal. The word gal was given to this unit in the honor of great scientist Galileo. He was the first person who studied acceleration that is created due to gravity.

The acceleration calculator is the tool through which you can calculate acceleration by using different acceleration methods (Equations). This calculator is taken into account to find out displacement, covered distance, starting velocity, ending velocity, speed difference, average acceleration, constant acceleration, time, force and mass.

All you need to stick to the given steps, to perform acceleration calculations by using different formulas:

**Inputs:**

There are four input fields are available, these are:

- Initial Speed
- Final Speed
- Time
- Acceleration

All you need to enter the three known values into the above fields to know the unknown value.

**Outputs:**

- Once you entered the three known values, hit the calculate button, the calculator will provides the fourth value

**Inputs:**

Here you find four input fields, these are:

- Initial Speed
- Distance
- Time
- Acceleration

You just ought to add any three known values into these input fields to known the unknown value.

**Outputs:**

- Once you added the values into three known fields, hit the calculate button, the calculator will shows you the fourth value

**Inputs:**

There are three input fields are available, these are:

- Mass
- Net Force
- Acceleration

Well, you just have to put any of two values into the given fields to find the third one.

**Outputs:**

- Once you entered the two known values, hit the calculate button, the calculator will calculate the third value instantly

**Inputs:**

There are five input fields are available that includes:

- Displacement (∆x)
- Initial Velocity
- Final Velocity
- Elapsed Time
- Constant Acceleration

All you needs to enter any three values into the given fields to find the other values.

**Outputs:**

Once you added the three known values, you have to hit the calculate button , the calculator for constant acceleration generates:

- Initial Velocity
- Final Velocity
- Time
- Constant Acceleration
- Displacement
- Average Velocity
- Plot Graph Velocity(m/s) vs. Time(s)
- Plot Graph Displacement(m) vs. Time(s)

**Inputs:**

Here, you can find five input fields, these are:

- Initial Velocity
- Final Velocity
- Initial Time
- Final Time
- Average Acceleration

You just have to enter any four known values into the fields of this calculator for acceleration to find the fifth one.

**Outputs:**

Once you added four known values into the above fields, hit the calculate button, this average acceleration calculator will calculate the fifth one.

Both acceleration and velocity are said to be as the vector quantities, it means that they include the direction of motion. Concepts that don’t given any indication about direction are referred to as scalar quantities. Length, speed, and number of apples in a bucket are the examples of scalar quantities.

Acceleration calculator is the easiest and simple way to calculate the acceleration but we can do it manually as well by taking assistance from the equation of acceleration. Some of the examples of manual calculation is given below.

**Example of Acceleration (Solved):**

How to calculate the acceleration of a car that is moving with the constant velocity?

In this case the starting and ending velocities will be similar as the car is moving with the constant velocity. According to the formula: a = Vf – Vi = 0

As we have same velocities therefore the acceleration will be zero.

**Example:**

If a train is running with a uniform velocity that is v = 5 m.s-1 and the captain stops the train on a station for sometimes and then accelerates forward again. After 20 seconds, the captain finally stops accelerating and sustain a uniform velocity that is v = 25 m.s-1. In this case what will be the acceleration of the train?

Vi=5m.s-1

Vf = 25 m.s

T = 20 s

We will use the formula for average acceleration and put values into it as follows.

a=vf−vit

a=25−520

a=1 m.s-2

In this case the acceleration of the train will be 1 m.s-2

**Example:**

What will be the final velocity of the stone that is throw down from the third flat in a building. If this stone hits the ground after 18 seconds and its acceleration due to gravity is g = 9.80 m.s-2.

vi = 0 m.s-1

vf = ?

a = g = 9.80 m.s-2

t = 18 s

we wil apply the formula for average acceleration.

a=vf−vit

Rearrange the formula: vf=vi + at

vf= 0+(9.80×18)

vf=176.4 m.s-1

that’s how we can calculate final velocity by rearranging the formula for acceleration. In order to clear the confusion about such calculations you can verify the results via acceleration calculator for verification.

Kinematics is the subdivision of physics and it is related to the explanation of all those objects that are in motion. This branch usually expresses formulas that find one quantity for instance acceleration formula with distance or velocity by the information about two other quantities. It gives you the following equation to find acceleration with either velocity or distance:

a = (v2 − u2) / 2s

if we have the following values:

V2= 4

U2=2

S= 4

16 – 8 =8 / 8

a = 1

Therefore, acceleration with distance and velocity will be 1.

When it comes to calculating acceleration, it involves dividing velocity by time – or in the terms of SI units, there is a need to dividing the meter per second (m/s) by the second (s). Also, dividing distance by time twice is indicated same as dividing by the square of time. Thus, the SI unit of acceleration is the m/s² (meter per second squared).

Yes, acceleration is said to be as a vector quantity as it has both magnitude and direction – and it is stated as the rate at which the object changes its velocity. According to optimistic study of physics, an object is said to be accelerating if it is changing its velocity.

Well, you can change this formula around for acceleration calculation, all you need to divide both sides by the mass, so: a = F/m. To calculate acceleration, simply, you ought to divide the force by the mass of the object being accelerated.

Since acceleration is something that is referred to as a velocity change over time, the units on acceleration are indicated to be velocity units divided by time units – so, (m/s)/s or (mi/hr)/s. In mathematically terms, the (m/s)/s unit can be simplified to m/s².

Yes, a body that is moving with a constant speed has velocity without acceleration.

The principle of physics depicts that when an object is slowing down; the acceleration is in the opposite direction as the velocity, it is said that this object has a negative acceleration. Actually, the negative acceleration is called deceleration, and sometimes, negative acceleration is also called as Retardation, which is opposite to the positive acceleration.

Velocity is said to be as the speed with which an object is moving in a particular direction, while acceleration is something that reveals how the speed of that object changes with time. Both velocity and acceleration have a magnitude and a direction, but their units differ, i:e m/s and m/s² respectively.

No, they both are different, let’s take a look:

Constant acceleration is the same value of acceleration over time period.

**For example:**

T= 1, a = 6 and T = 2, a = 6

Uniform acceleration is the same value of acceleration over time period.

**For example:**

T= 0, a = 2, T = 2, a = 4 and T = 4 and a = 6.

No, that’s not the right concept. Let’s take a look:

According to the law of gravitation, when a ball is projected vertically upwards velocity at its highest point that is 0, but this ball is still accelerating with a magnitude of 9.8m/s^2. If here acceleration was 0, then the ball would hang on the air that is impossible to this law, which proposed by Newton.

If you know that acceleration is constant, then you can readily solve for it without time if you have both initial and final velocity of the object along with the amount of displacement. Use this equation v^2=u^2+2

Where;

- v is said to be final velocity
- u is said to be as the initial velocity
- a is said to be as the acceleration
- s is indicated as displacement

Account this formula for acceleration to find acceleration!

Yes – if an object is not moving, or is moving at a constant speed within a straight line, the acceleration is said to be zero.

When a force is applied on an object, not only the applied force is acting there, also several other forces such as frictional force Ff, gravitational force Fg, and the normal force that balances the other forces. And, the net force is said to be the sum of all the forces acting on an object.

**The net force formula is:**

**FNet = Fa + Fg + Ff + FN**

All you need to simply divide your distance by speed to get your time and apply the values into the formula for acceleration.

Here you need the amount of time to calculate average acceleration, as it is indicated as velocity/time.

You ought to subtract the final velocity from the initial, and then simply divide that by the total time, the answer is indicated as final time.

All you need to stick to the given steps to calculate magnitude of acceleration:

- First of all, you have to convert the magnitude of the force into Newton’s
- Then, you have to change the mass of the object to Kg’s (Kilograms)
- Finally, you have to multiply both values by together to calculate the acceleration in m/s²

The studies of physics depict that if the force an object is being pushed with stays the same, there the acceleration as the mass increases. This all happened as F/m = a, so remember that as the mass increases the fraction becomes smaller and smaller.

Keep in mind that an average acceleration of the moving object depends on its initial velocity final velocity and change in time that was taken to cover a certain distance. Furthermore, it is linked directly with the newton’s law of motion. This tool will help you to understand briefly that how to calculate different parameters of acceleration effortlessly in the blink of an eye.

From the source of Wikipedia, the free encyclopedia – Simple definition of acceleration (physics) along with the properties – units and formulas for acceleration

From the source of (physicsinfo) – Detail guide on acceleration – Units of acceleration –the example of acceleration – acceleration of different events

The source of physicsclassroom provided you with: acceleration and newton’s second law of motion – explore all about acceleration and the Direction of the Net Force and Acceleration

From the source of wikihow – Co-authored by Sean Alexander, MS – How to Calculate Acceleration (Methods)- Calculating Average Acceleration from Two Velocities – Calculating Acceleration from a Force