Average Velocity Formula

As the word states, Average Velocity is the average value of the known velocities. Average Velocity is defined as the total displacement travelled by the body in time t. The average velocity is denoted by Vav and can be determined using the following formula:

\(\begin{array}{l}Average\,Velocity = \frac{Total\,Displacement}{Total\,Time}\end{array} \)

Based on the values given, the above formula can also be written as:

 

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

\(\begin{array}{l}V_{av} = \frac{X_{f}- X_{i}}{t_{f} – t_{i}}\end{array} \)
Where

x= Initial Distance

xf  =Final distance

t= Initial time

tf = Final time

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

\(\begin{array}{l}V_{av} = \frac{U + V}{2}\end{array} \)

Where,
U = Initial Velocity and
V = Final Velocity

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

\(\begin{array}{l}V_{av} = \frac{d_{1}+d_{2}+d_{3}+ … + d_{n}}{t_{1}+t_{2}+t_{3}+ ….+ t_{n}}\end{array} \)

Average Velocity Problem

Problem 1: A car is moving with an initial velocity of 30 m/s and it touches its destiny at 80 m/s. Calculate its average velocity. 
Answer:

Given: Initial Velocity U = 30 m/s
Final velocity V = 80 m/s

\(\begin{array}{l}V_{av} = \frac{U + V}{2}\end{array} \)

Average velocity Vav = (30 + 80)/2

Average velocity Vav = 55 m/s

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  1. Thanks for the crystal clear concept!