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velocity Calculator

Velocity Calculator

Select the quantity to be measured and the calculator will calculate either velocity, acceleration, distance, time, or average velocity by using the respective equation.


\( d = vt \)

\( v = \frac{d}{t} \)

\( t = \frac{d}{v} \)

To Calculate:







\( v_i = v_f - at \)

\( t = \frac{v_f - v_i}{a} \)

\( a = \frac{v_f - v_i}{t} \)

\( v_f = v_i + at \)

To Calculate:







Velocity (v)


Time (s)







Velocity Calculator by \( v_i^2 = v_f^2 + 2as \)

\( v_i = \sqrt{v_f^2 - 2as} \)

\( s = \frac{v_f^2 - v_i^2}{2a} \)

\( a = \frac{v_f^2 - v_i^2}{2s} \)

\( v_f = \sqrt{v_i^2 + 2as} \)

To Calculate:







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An online velocity calculator of physics specifically programmed to calculate velocity/speed of a moving object. This velocity formula calculator uses different equations of physics to find Initial Velocity, final velocity / speed and more.

This velocity formula calculator works in three different ways including:

  • First, with this velocity calculator, you will be able to calculate velocity according to its definition that uses the well-known velocity formula of physics
  • The second method used by this smart velocity time calculator to determine the velocity change that is caused by acceleration over a specific time interval
  • The third way is average velocity that used by our velocity solver to determine various velocities over different distances

In simple words, this calculator for velocity is used when you need to analyze certain values for velocities. Now, we are here going to discuss speed vs velocity, how to find velocity with calculator and step-by-step, a formula for velocity, and different velocity related-terms. So, before exploring these all terms, read on and start with the basic velocity definition physics.

For convenience, consider this free acceleration calculator to calculate acceleration by using different acceleration formulas.

What is Velocity in Physics?

A velocity definition of physics is referred to as a vector measurement of the rate and direction of motion. In other words, velocity is a measure of how quickly an object moves. When it comes to the velocity equation, it is stated as the change in the position of an object, divided by the time. You get more clearance with the formula for velocity.

What is The Formula For Velocity?

The velocity is said to as the time rate of change of displacement. So, the velocity formula physics is:

$$ v = \frac {d}{t} $$

In this velocity equation;

  • \(‘v’\) represents the velocity
  • \(‘d’\) represents the displacement
  • \(‘t’\) represents the time

Velocity After a Certain Time of Acceleration:

$$ Final  velocity = Initial Velocity + Acceleration \times Time $$

Our total velocity calculator also uses the same velocity calculating formula to calculating velocity accurately.

Units of Velocity:

The SI (metric system) unit of velocity is expressed as meter per second \((m/s)\) or as the SI base unit of \(ms^-1\)

Alternatively, the magnitude of velocity can also be expressed in centimeters per second \((cm/s)\).

Some Other Velocity Units:

These are some other units that identify velocity:

  • Kilometers per hour \((km/h)\)
  • Knot \((unit)\)
  • Feet per minute
  • Foot per second \((ft/s)\)
  • Meter per hour \((m/h)\)
  • Miles per hour \((mph or mi/h)\)
  • Inch per second \((in/sec)\)
  • Speed of light

If you don’t want to perform manual calculations, simply use the velocity formula calculator to calculate velocity.

About Velocity Calculator:

A smart velocity calculator of physics uses different velocity equations to calculate velocity/speed of a moving object. It doesn’t matter whether you want to calculate velocity with the distance covered, acceleration, and average velocity method; this velocity solver will help you in calculating velocity. When it comes to physics, we can find velocity as the division of a change of its position by time. Sometimes, there’s a need to determine the speed of a moving object, however, most often, the object does not consist of a speedometer or it does not work. That’s the reason you ought to use an equation for velocity or a velocity finder for finding velocity.

How to Calculate Velocity With This Online Velocity Calculator:

Velocity (Distance Covered):


  • First, hit the “distance covered” tab
  • Then, select the option for which you want to perform calculations, it can either “velocity, time, or distance”
  • Very next, add the values into the remaining fields
  • Now, all you need to make a click on the calculate button


The velocity finder calculates either:

  • Velocity
  • Time
  • Distance

Velocity After a Certain Time Acceleration:


  • Hit the “acceleration” tab
  • Now, choose the option from the drop-down list, it can either “initial velocity, time, acceleration, or final velocity.”
  • Then, all you need to enter the values into the remaining fields of this calculator
  • Hit calculate button


The calculator for velocity calculates either:

  • Initial velocity
  • Time
  • Acceleration
  • Final velocity

Average Velocity:


  • Hit the “Average velocity” tab
  • Then, enter the values for velocity and time into the designated fields
  • Hit calculate


The calculator shows:

  • Average Velocity

What is The Difference Between Speed and Velocity (Speed VS Velocity)?

Well, there is a slight difference between speed and velocity, read on to know!


According to the technical speed definition, it is a scalar quantity that represents the rate of motion distance per time.

  • Remember that, speed is directly proportional distance \((s)\) when time \((t)\) is constant – \(v ∝ s\) (t constant)
  • And, speed is inversely proportional to time \((t)\) when the distance \((s)\) is constant – \(v ∝ 1/t\) (s constant)

So, let’s combine these both rules together that indicates the speed definition to generate the formula for speed:

Speed Formula is equal to:

$$ v = \frac {s}{t} $$


\(‘v’\) is used for speed

\(‘s’\) is used for distance

\(‘t’\) is used for time

Instantaneous Speed:

According to the definition of physics, it is the first derivative of distance with respect to time.


Yes – we mentioned above the definition of velocity and even the velocity physics formula. Now, let’s move ahead to know about some other types of velocity! Remember that formula for velocity only works when an object has a constant speed in a constant direction. You can use a physics constant velocity calculator that calculates velocity of an object that has a constant speed in a constant direction.

Keep in mind that this velocity formula only works when an object has a constant speed in a constant direction

Initial Velocity:

The initial velocity is the velocity of the object before the effect of any acceleration, which causes the change in motion.

Initial Velocity Formula:

$$ Initial velocity = final velocity – (acceleration \times time) $$

\(vi = vf – at\)

You can give a try to simple online initial speed calculator to calculate initial speed of an object. Also, read on to know detail about instantaneous velocity.

Now, let us tells you about the difference between velocity and speed with respect to ‘Average.’

Final Velocity:

The final velocity is said to be the velocity of a given object after a period of time. Our initial and final speed calculator of physics also helps you to calculate both the initial and final speed of an object.

Final Velocity Formula is:

\(v= u+ at\)

\(S = ut + 1/2 at^2\)

\(v^2 = u^2 + 2as\)


  • \(‘v’\) represents final velocity after time \(t\)
  • \(‘u’\) represents the initial velocity
  • \(‘a’\) represents an acceleration
  • \(‘s’\) represents distance covered in time \(t\)

Otherwise, at any circumstance,

\(v= u+ ∆v\)

Change in velocity formula:

\(∆v\): change in velocity

Well, use the above formula or change in velocity calculator to understand how to find final velocity.

Certain Velocity Related Terms & Their Physics Formula’s:

These are some terms that might help you with velocity calculations:

Average Velocity:

The average velocity of an object is said to be as its total displacement divided by the total time taken. Also, it indicates the rate at which an object changes its position from one place to another. Average velocity is a vector quantity. The SI unit is meters per second. However, any distance unit per any time unit only can be considered when necessary, such as miles per hour (mph) or kilometer per hour (kmph).

Average velocity is referred to as the total distance traveled by an object (e.g. a car) divided by the elapsed (total) time. it is a vector quantity.


$$ \bar{v}=\frac{\Delta x}{\Delta t} $$


  • \(\bar{v}\) = average velocity
  • \(\Delta x\) = displacement
  • \(Delta t\) = change in time

For example, a car covered a distance of \(120\) \(km\) in \(2\) hours while traveling. So, its average velocity during the \(120\) \(km\) route will be:

\(v =\frac {120}{2}\)

\(v = 60 km/h\)

So, it doesn’t mean that the car was travelling all the time with the velocity of \(120 km/h\). As there may be braking & accelerating of the car required, so it’s clear that a car may have traveled with different speed.

Instantaneous Velocity:

It is said to be as the average speed between two points on the path in the limit that the time (and that’s the reason why the displacement) between the two points approaches zero.

The instantaneous velocity is the quantity that tells how fast an object is moving anywhere along its path. It is indicated as the average velocity between two points on the path in the limit that the time (and thus the displacement) between the two points that approaches zero.


Vint = limit Δ→0 Δx/Δt = dx/dt

Wherewith respect to time ‘t’, ‘x’ is referred to as the given function. The v(inst) is represented in m/s. If any numerical equation consists of the function in the form of f(x), then the v(inst) is determined by using the above formula.

For example:

An object traveling along a straight line for time 5 seconds, with the position function \(x\) defined as \(10^2 + 4t – 2\), what’s its instantaneous velocity?


As given in the function,

\(10^2 + 4t – 2\)

Now, we find instantaneous velocity by differentiating this function with respect to \(‘t’\):

\(Vint =\frac {dx}{dt}\)

Substituting function \(x\);

\(Vint =\frac {dx}{dt}\)

\(Vint =\frac {d}{dt (10^2 + 4t – 2)}\)

\(Vint = 20t + 4\)

By putting the value of \(‘t’ = 3\, we get the instantaneous velocity as:

\(Vint = 20(5) + 4\)

\(Vint = 100 + 4\)

\(Vint = 104ms^-1\)

Terminal Velocity:

Terminal velocity is referred to as the maximum velocity that attainable by an object as it falls through a fluid (air is the best example). It typically takes place when the sum of the drag force \((Fd)\) and the buoyancy becomes equal to the downward force of gravity \((FG)\) acting on the object.

Terminal Velocity Formula:

Vt = √2mg/pACd

To find the terminal velocity, add the values into the equation, where:

  • ‘m’ is referred to as the mass of the falling object
  • ‘g’ is indicated as the acceleration due to gravity. On Earth is approximately 9.8 m/s
  • ‘p’ is said to be as the density of the fluid the object is moving through
  • ‘A’ is referred to as the projected area of the object
  • ‘C’ is the drag coefficient

Escape Velocity:

When it comes to physics, specifically (celestial mechanics), escape velocity is said to be as minimum speed, which required for a non-propelled, free object to escape from the gravitational influence of a huge body.

More specifically, it is said to be as the speed that an object requires to be traveling to break free of planet or moon’s gravity and enter orbit.

For example, the spacecraft that leaving the surface of Earth requires to be going 7 miles/second, or nearly 25,000 mph to enter the orbit. The Delta II rocket blasting off.

Escape Velocity Formula;

Ve = √2GM/r


  • ‘Ve’ is referred to as the escape velocity
  • ‘G’ indicated the universal gravitational constant
  • ‘M’ it is the mass of the body to be escaped from
  • ‘r’ is said to be as the distance from the center of the mass

Displacement and Velocity:

Displacement is referred to as the vector difference between the ending & starting positions of an object. However, it may be quite different from the distance through which an object has traveled along the way. Although, velocity is said to be the rate at which the displacement changes with time.

You can easily calculate displacement by measuring the final distance away from a point, and then simply subtracting the initial distance. When it comes to determining velocity, displacement is a crucial key.

velocity = displacement/time

Whereas; speed is said to be as distance/time

Average Speed VS Average Velocity:

Let’s start with the term of velocity vs speed according to an average formula for both.

Average Speed:

Average speed is said to be as the rate of change of distance with time

Average Velocity:

It is said to be as the rate of change displacement with time

How to Find Velocity With Distance and Time Given (Step-by-Step)?

The formula to calculate the velocity is as follow,

v = S / t


S = Distance covered.

v is the velocity.

t is the time taken.

Let’s have an example to clarify the manual velocity calculation example.


An object covers a distance of 2500m in 36s. Find the velocity of the object?



S = 2500m

t = 36s


v = S / t

v = 2500 / 36

v = 69.44m/s

Our velocity formula (v=d/t calculator) also uses the same formula to calculate velocity.


How to Calculate Time With Distance and Velocity Given:

Give a try to this free online time calculator of physics to calculate time when the distance and velocity are given. Also, consider the formula to calculate the time given below,

t = S / v


S = Distance covered.

v is the velocity.

t is the time taken.

Let’s have an example for a better understanding!


Calculate the time taken by the object to cover the 345m distance with a speed of 60m/s?



v =60m/s

S = 345m


t = S / v

t = 345 / 60

t =5.75s

How to Calculate Distance with Velocity and Time Given?

You can use an online distance calculator of physics to calculate the distance when velocity and time is given. Also, the formula to calculate the distance covered by an object is as follow,

S = vt


S = Distance covered.

v is the velocity.

t is the time taken.

Let’s look at the solved example below.


A train moves with a velocity of 120m/s for 75s. Find the distance covered by the train?



v =120m/s

t = 75s


S =vt

S =(120)(75)

S =9000m

Why Velocity Matters?

Velocity is something that measures motion starting in one place and heading toward another place. No doubt, the practical applications of velocity are endless, but the most well-known reason to find velocity is to analyze how quickly you (or anything in motion) will reach at a destination from a given point. Velocity really makes it possible to make timetables for travel. For instance, if a train leaves Grand Central Terminal (New York) at 1 pm, and you have an idea about the velocity at which the train is moving north, you can easily predict when it will arrive at the Pennsylvania Station.

Velocity in Real Life (Example):

In fact, you will probably not be drawing graphs to depicts velocity in real-life, velocity (v) in-actual has certain real-life applications. Suppose that you’ll take a road journey and need to know how to determine how much time it will take you to reach a destination. Likewise, velocity also helps when you need to know how much time an airplane takes to take off. In short, velocity is the term that is a practical part of everyday physics.

For example:

If you travelled 50 miles within 1 hour going west, then your velocity is said to be 50 miles per hour westwards, or 50 mph westwards.

Interesting Facts about Speed and Velocity:

  • Galileo Galilei was the first scientist who measures speed as distance over time
  • A speedometer is said to be the best example of instantaneous speed
  • You can also express a speed of light as 186,282 miles per second
  • The speed of sound in dry air can be expressed as 343.2 meters per second
  • The escape velocity of Earth is referred to as the speed that needed to escape from Earth’s gravitational pull. It is expressed as 25,000 miles per hour

FAQ’s (Velocity):

How do you find velocity with distance and time?

All you need to plug-in the values into above velocity distance and time calculator to find velocity with distance and time.

How do you find final velocity with calculator?

All you need to do the following:

  • First of all, you have to hit the ‘acceleration tab’
  • Very next, you have to choose the ‘final velocity’ option from the drop-down menu of final velocity calculator
  • Then, you have to enter the value of the initial velocity into the designated box
  • Right after, you have to enter the value of acceleration into the given box
  • Finally, you have to enter the value of the time into the designated field, then, hit the calculate button, the calculator for final velocity will instantly calculate final velocity for the given inputs

What is the airspeed velocity of an unladen swallow?

If we talk about the airspeed velocity of a (European) unladen swallow, it is said to be about 24 miles per hour or 11 meters per second. When it comes to the airspeed velocity of an unladen swallow, it is said to be something like 20.1 miles per hour or 9 meters per second.

How long does it take to reach terminal velocity?

An individual who is falling at low altitude will reach terminal velocity after about 12 seconds, falling some 450 meter (1,500 ft) in that time. Then, he/she will maintain this speed without falling any faster.

Can velocity be negative?

Straightforwardly – yes, velocity can said to be negative. An object that moves in the negative direction has indicated as a negative velocity. And, if the object is speeding up, then its acceleration is something that is directed in the same direction as its motion (in such case, it is said to be as negative acceleration).

How to find initial velocity?

If you want to calculate intitial velocity instantly, then all you need to plug-in the values into the above initial velocity calculator. And, if want to do it manually, then use the below initial velocity formula:

Formula For Initial Velocity:

Initial velocity = final velocity – (acceleration×time)

vi = vf – at

Read on!

  • First of all, you have to figure out which of the displacement (S), final velocity (Vf), acceleration (A), and the time (T) you have to solve for initial velocity (vi)
  • If you have Vf, A, and T, then you ought to use Vi = Vf – AT
  • If you have S, Vf, and T, then you ought to use Vi = 2(S/T) – Vf
  • If you have S, Vf, and A, then you ought to use Vi = Square root of (Vf^2 – 2AS)
  • If you have S, A, and T, then you ought to use Vi = (S/T) – (AT/2)

Example (Initial Velocity Calculation):

A body traveling from 36s and now its speed is 180m/s with an acceleration of 4ms-2. Calculate the initial velocity of the body?



t = 36s

vf = 180m/s

a = 4ms-2


vi = 180 – (4)(36)

vi = 180 – 144

vi = 36ms-1

How to find final velocity?

Try the above final velocity calculator to perform instant calculations. If you want to do it yourself, then you ought to use the given final velocity formula.

Vf = vi + at


V= U+ AT

S = UT + 1/2 AT^2

V^2 = U^2 + 2AS

Read on!

  • First of all, find out which of the initial velocity (U), acceleration (A) time (T), and displacement (S), you have to solve for final velocity.
  • If you have U, A and T, then you ought to use V = U + AT
  • If you have S, U, and T, then you ought to try V = 2(S/T) – U
  • If you have S, U, and A, then you ought to use V = Square root (U^2 + 2AS)
  • If you have S, A, and T, then you ought to use V = (S/T) + (AT/2)

Example (Final Velocity Calculations):

A body starts from rest and continues to travel from 40s with an acceleration of 8ms-2.Find the final velocity of the body?


t = 40s

vi = 0m/s

a = 8ms-2


Vf = vi + at

vf =0 + (8)(40)

vf =0 + 320

vf =320ms-1

What is escape velocity?

In the terms of physics, the escape velocity is referred to as the minimum speed, which required for a free, non-propelled object to escape from the gravitational influence of a massive body, that is, to attain an infinite distance from the source of it. Escape velocity is indicated as the function of the mass of the body and distance to the center of mass of the body.

How to find the final velocity with distance and time?

An online calculator for velocity helps you to calculate the final velocity when distance and time are given.

What causes a change in velocity?

Experts depicts that forces are something that affect how objects move – they may cause motion, also, they may stop, slow or even change the direction of motion of an object (already moving). As force cause changes in the speed or direction of an object, it is said to be that forces causes changes in velocity. Remember that acceleration is said to be change in velocity.


Keep in mind, speed depends on distance, and when it comes to velocity, it depends on displacement – no doubt, these two quantities are effectively the same (even have the same magnitude) when the time interval is small. Use the above velocity calculator to understand how to calculate velocity and even also solve your physics equations within a blink of eyes!


From Wikipedia, the free encyclopedia – Constant velocity vs acceleration – Difference between speed and velocity – Equation of motion – Average Velocity – Instantaneous velocity (change in position) – Quantities that are dependent on velocity – Relative velocity – Scalar velocities – Polar coordinates

From the source of thoughtco – By Andrew Zimmerman Jones – What Is Velocity in Physics (The concept is related to distance, rate, and time) – Velocity Formula – Units of Velocity – Why Velocity Matters – Sample Velocity Problem – How to Find the Velocity of Something

From the authorized platform of – The Physics Hypertextbook – Discussion on Speed and Velocity – Speed definition physics – velocity definition physics – Speed Chart shows the speed of device, event, phenomena, process

From the source of physicsclassroom – Speed and Velocity and Velocity as a Vector Quantity – Determining the Direction of the Velocity Vector


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