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**Education Calculators** ▶ Average Velocity Calculator

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An average velocity calculator is a tool that allows you to calculate average velocity, final velocity, initial velocity as well as average velocity for a round trip. This calculator for average velocity will perform calculations corresponding to the average velocity formula physics.

Well, this post helps you to understand how to find average velocity (manually) and with the given calculator, formula, unit, examples of average acceleration, and much more. So, let’s start with a basic definition of average velocity in physics.

Read on!

In physics, the average velocity of any moving object is explained by its total displacement that is divided by the total time taken to cover that distance. In most simple words, we can say that it is the rate at which an object moves to change its position from one place to another place in some time. In fact, it is the ratio of total distance or displacement to the time. Its direction will be the same as the moving object. Furthermore, its magnitude will be less than or equal to the average speed.

When we calculate average velocity it comes out as the total distance of any object over a precise period of time. Therefore, the average velocity equation represents the division of displacement by total time period.

**Mathematical Representation:**

Average velocity is denoted by “Vav” and can be represented by the following formulas:

- Average velocity = (change in position of object) / (time taken to change the position)
- Vav = Δx / Δt

If any object covers distances xi and xf during time intervals ti and tf then the formula will be:

- Vav = Xf – Xi / Tf –Ti or
- Vav = U+V / 2

It can be further simplified according to conditions as:

V=2Vav−u

Whereas;

- xi = first distance
- xf =last distance
- ti = starting time
- tf = ending time

If we take final Velocity as“V” and Initial velocity as“U” and they are known values, then the formula will be same as “Vav = U+V / 2” but U represents the final velocity and V represents the initial velocity. Average velocity calculator specifically follows this formula for calculation.

From the above formula, we can calculate the units of average velocity.

- British imperial unit: feet per second or ft/s and mph.
- SI system of units: meters per second or m/s and km/h.

- Assume a person who is walking from home A towards home B in south. After reaching home B in 4 seconds he will further walk towards another home in the other direction and reach at home C after 2 seconds. The total covered distance was 12 meters. In this case, to find average velocity of this person we can simply apply an average velocity formula that is “total displacement/ total time”.
- On putting the values:12 meters / 6 seconds = 2m/s.
- Take another example in which Ali walks towards north for 1 meter, then he walks towards west for 8 more meters, then goes in the south for 1 meter. Total time he took was 4 seconds to cover this distance. The example concludes that he ends up 8 meters west of his initial point, so this is his displacement or total distance. Therefore, the average velocity will be 8 m west / 4s = 2 m/s. Manual calculations always have a chance of some error therefore answer can be verified by taking assistance of average velocity calculator.

Average velocity calculator helps you to compute the average velocity, initial velocity, final velocity, and the average velocity for a round trip according to given parameters. The tool considers the equation for average velocity for calculating average velocity.

Don’t fret, all you need to adopt the given steps to determine the average velocity, the tool is 100% free and provides you with precise calculations for average velocity:

Let’s swipe down!

**Inputs:**

- First of all, you ought to choose the “average velocity” option from the drop-down menu of this tool
- Very next, you have to add the value of “initial velocity” into the designated, and it’s unit either be in m/s, ft/s, km/h, km/s, mi/s, or mph
- Then, you ought to add the value of “final velocity” into the designated field of this calculator, and it’s unit either be in m/s, ft/s, km/h, and more

**Outputs:**

Once you added the above parameters into the given fields, hit the calculate button, this average velocity calculator will show:

- Average Velocity
- Initial Velocity
- Final Velocity

**Inputs:**

- First of all, you have to choose the option of “initial velocity” from the given drop-down menu of this calculator
- Very next, you ought to enter the value of “average velocity” into the given field of the tool
- Then, you have to enter the value of “final velocity” into the given field of the above calculator

**Outputs:**

Once you followed the above steps, then all you need to hit the calculate button, the calculator will generates:

- Initial Velocity
- Final Velocity
- Average Velocity

**Inputs:**

- At first, you ought to select the option of “final velocity” from the given drop-down of this calculator
- Right after, you have to enter the value for “average velocity” into the designated field of this tool
- Then, you ought to enter the value for “initial velocity” into the given field of this calculator

**Outputs:**

Once you have done, then simply hit the calculate button, this online calculator will provide you with:

- Final Velocity
- Initial Velocity
- Average Velocity

**Inputs:**

- First of all, you have to choose the option of “average velocity of round trip” from the given drop-down of this calculator
- Right after, you have to enter the value of “outward velocity” into the designated field
- Very next, you have to add the value of “returned velocity” into the given field

**Outputs:**

Once you followed the above steps for calculating the average velocity of round trip, then all you need to hit the calculate button, this calculator for the average velocity of the round trip shows:

- Average Velocity of Round Trip
- Outward Velocity
- Returned Velocity

sometimes people get confused among average speed and average velocity. Generally, people take the same in daily life usage but in physics, these two terms are definitely different things. Average speed is a scalar quantity and does not need any direction. On the other hand, average velocity is a vector quantity and needs a direction as well.

For instance, assume a bike that is moving fast from point 1 to point 2 and then comes back to point 1. In this way there will be no displacement. Therefore, the speed of the bike can be calculated but we cannot calculate its velocity as it comes back to the starting point.

In another example when the bike reaches at point 2 and stays there then there will be a precise displacement in a specific direction. Now the average velocity can be calculated. On the basis of these facts, there is a difference between their equations and formulas as well.

• Average velocity equation: Average velocity of any object that covered a certain distance in a certain direction is equal to the sum of final velocity and initial velocity and then divided by two: v= (v + u)2

• Average speed equation:= d/t = 2π m/s

• Average velocity formula:v¯=Δx/t

• Average speed formula:Total Distance/Total Time = d/t

However, the average velocity calculator finds out the average velocity by using the similar method for computing the simple average of two numbers. It automatically takes the sum of starting and ending velocity and then divide the answer by 2 to give the average.

Average velocity can be calculated manually by applying average velocity formula. However,an error free approach is the use for average velocity calculator for this purpose. Let’s have a look on manual calculations down below:

**Example:**

Assume a car that is travelling on a straight road. It covers 100 meters in four seconds and covers 50 meters in 50 seconds in the other direction. What will be its average velocity?

For calculating average velocity, we will determine the total covered distance and time:

- D= 100 m + 50 m = 150 m
- T= 4 s + 1 s= 5 seconds.

Now we will apply the formula: Average velocity = Displacement/time elapsed

- Add values in its formula: 50 meters / 5 seconds = 10 ms-1

**Example:**

Assume a runner who travels on a rectangle track. Covered distance is 280 meters in 100 seconds. How will you determine its average velocity?

- Distance = 280 m
- Time = 100 s
- Apply formula and put the values: Average velocity = displacement / time = 280 / 100 = 2.8 m/s

**Example:**

If the initial velocity of the moving car is 24 m/s and the final velocity is 4 m/s in time 20 minutes, then what will be the average velocity.

- U = 24 m/s
- V = 4 m/s

We will simply apply the formula for average velocity: Vav = U + V / 2.

Vav = 24m + 4m / 2s = 14 m/s

To compute initial velocity:

- You ought to begin by multiplying the acceleration by the time
- Very next, you have to divide that number by 2 and note down the quotient you get
- Right after, you ought to divide the distance by the time and note down that quotient as well
- Finally, you ought to subtract your first quotient from your second quotient to calculate the initial velocity

Average velocity is referred to as the displacement divided by the time interval in which the displacement occurs, thus, account this formula v= ∆x÷∆t to compute average velocity.

Let’s describe it with the example:

If John drives 40 mph for 2 hours, and 60 mph for another 2 hours, then what is his average velocity for the entire trip:

So, all you need to add the two speeds together, and then you ought to divide the sum by two, this will provide you with the average speed for the entire trip:

From the above example:

s = 40 + 60 / 2

s = 100 / 2

s = 50

So, if John travelled 40 mph for 2 hours, then 60 mph for another 2 hours, his average speed is said to be as 50 mph.

To find the average velocity with multiple or 2 velocities, you ought to follow the given steps:

- First of all, you have to calculate the total distance of all given velocities, use this formula

S = v * t

Where;

s = distance

v = velocity

t = time

- Now, you have to calculate the total time of all the given velocities, to do this, use the given formula

t = t1 + t2 + t3 . . . . . . . tn

- Finally, you have to divide the total distance by total time to calculate the average velocity for 3 or more velocities

The average speed of an object is referred to as the distance traveled divided by the time elapsed. Remember that velocity is a vector quantity and average velocity is said to be as the displacement divided by the time.

When it comes to the average velocity over an interval (a, b) for the position function f (t), it can be figure out by the difference quotient:

f (b) – f (a) / b – a

For the average velocity between two-point, you have to use this notation –v=x(t2)−x(t1)t2−t1 v – = x ( t 2 ) − x ( t 1 ) t 2 − t 1 .

All you need to use the given formula:

S = d/t

- All you need to plug-in the distance for the variable “d”
- Very next, you have to plug-in the time for the variable “t”
- Finally, you have to divide the distance by the time to calculate the average speed

To determine how far he runs, first of all, you have to calculate the circumference of the circle by the given formula:

2(pi)(r). So 2(3.14)(14) = 87.92

As he runs 1o rounds, you ought to multiply the circumference by 10: 87.92 x 10 = 879.2 (879 rounded).

Very next, it’s said that he completed the run in 10 minutes, but here you needs answer in seconds, so all you need to convert it by multiplying 10 x 60 = 600.

- Now, you ought to set up the speed ratio: s = d/t; s = 879/600
- Finally, all you need to simplify the ratio by dividing 879/600 = 1.47.

So, the average velocity of this athlete was 1.47 m/s.

Right after 5 seconds, the taxi will have a speed of 4/ms^2 x 5 s = 20 m/s. Here the average speed is 20 m/s / 2 = 10 m/s as the speed is increases from 0 m/s to 20 m/s in a straight line, in the above case the average speed is the maximum speed divided by 2. In general, the average velocity of velocity is corresponding to t from initial velocity to final velocity by final time – initial time. In the given case, v = 4t m/s, so the integral corresponding to t is 2t^2 that provides 2 x 25 = 50 m, divided by 5 s, = 10 m/s.

All you need to do the following:

Seconds * Meters Per Seconds, so in the given case: 5 * 20 = 100

100 is the average speed.

Simply, plug-in the values into the formula for average velocity:

Average Velocity = Total Displacement / Total time = 0.4 m/s

All you need to add up their velocity and divide the sum by 2. And if you had 3 objects, you have to do the same but divide by 3.

Average velocity is stated as the total displacement /total time taken for that, so the given:

S = 3t^2 – 6t

So, displacement in between 2s and 5s is given as:

By reviewing that the average velocity depends on the covered displacement and total time anyone can calculate it. However manual calculation will be a tricky task as it involves taking an average of two quantities. Use this calculator for average velocity to develop its complete understanding and to solve them all kinds of questions that involve this physical quantity with ease.

From the source of brilliant – Concept About Average Velocity – Contributed by Filip Rázek, Aditya Virani, Jimin Khim

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