Calculator Soup^{®}

This Calculation:

v_{a} = ( v + v_{0} ) / 2

Where:

- v
_{a}= average velocity - v
_{0}= initial velocity - v = final velocity

The average velocity calculator calculates the average velocity using the same method as finding the average of any two numbers. The sum of the two numbers is divided by two to produce the average. This calculator is most commonly used when the average of the initial velocity and a final velocity and two is desired to be known.

Solving for the different variables we can use the following formulas:

- Given v and v
_{0}, calculate v_{a}

Given initial velocity and final velocity calculate the average velocity.- v
_{a}= ( v + v_{0}) / 2

- v
- Given v
_{a}and v calculate v_{0}

Given average velocity and final velocity calculate the initial velocity.- v
_{0}= 2v_{a}- v

- v
- Given v
_{a}and v_{0}calculate v

Given average velocity and initial velocity calculate the final velocity.- v = 2v
_{a}- v_{0}

- v = 2v

**Average Velocity Problem: **During a 5k race, the velocities of runners are taken at the beginning and end of the 3rd mile. If “Runner A” is running at 10 mph at the start of the mile and 7.5 mph at the end of it, what is their average velocity?

In this problem the initial velocity is 10 mph and the final velocity is 7.5 mph. Using the formula, we calculate va to be equal to (10+7.5) mph/ 2 giving us 8.875 mph as Runner A’s average velocity.

**Cite this content, page or calculator as:**

Furey, Edward "Average Velocity Calculator" From *http://www.CalculatorSoup.com* - Online Calculator Resource.