# Average Velocity Formula

As the word states, Average Velocity is the average value of the known velocities. Displacement over total time is Average Velocity. The average speed of an object is described as the distance traveled divided by the time gone. Velocity is a vector unit, and average velocity can be described as the displacement divided by the time. The units for velocity can be understood from the definition to be meters/second or in common any distance unit over any time unit. The average speed of a body is described as the distance covered divided by the time elapsed.

It is useful in determining the average value of speed if the body is varying continuously for the given time intervals.

$Average\,&space;Velocity\,&space;=\,&space;\frac{Total\,&space;distance\,&space;traveled}{Total\,&space;time\,&space;taken}$

It is known as VavAverage Velocity Formula fluctuates based on the given problem.

$V_{av}\,&space;=&space;\frac{X_{f}-X_{i}}{t_{f}-t_{i}}$

If any distances xi and xf with their corresponding time intervals ti and tf are given we use the formula

$V_{av}\,&space;=&space;\frac{U+V}{2}$

Where x= Initial Distance,
Final distance = x,
Initial time = ti,
Final time = tf.

If final Velocity V and Initial velocity U are known, we make use of the formula

Where,
U = Initial Velocity and
V = Final Velocity.

If there are diverse distances like d1, d2, d3 ……. dn for diverse time intervals t1, t2, t3,… tn then

$V_{av}\,&space;=&space;\frac{d_{1}+d_{2}+d_{3}+.......d_{n}}{t_{1}+t_{2}+t_{3}+.......t_{n}}$

Average Velocity Problems

Below are problems based on Average Velocity:

Problem 1: Compute the average velocity at a specific time interval of a particle if it is moves 5 m at 2 s and 15 m at 4s along x-axis?

Given: Initial distance traveled, xi = 5 m,
Final distance traveled, xf = 15 m,
Initial time interval ti = 2s,
Final time interval tf = 4s.

$Average\,&space;Velocity\,&space;V_{av}&space;=\frac{x_{f-}x_{i}}{t_{f-}t_{i}}$

$=\,&space;\frac{15-5}{4-2}$

$=\,&space;\frac{10}{2}$

$=\,&space;5m/s.$

Problem 2: A car is moving with an initial velocity of 20 m/s and it touches its destiny at 50 m/s. Calculate its average velocity.
$Average\,&space;Velocity\,&space;V_{av}&space;=\,&space;\frac{U+V}{2}$
$=\,&space;\frac{20m/s+50m/s}{2}$
$=\,&space;35\,&space;m/s.$