# Average Velocity Formula

## Average Velocity Formula

Students know the concept of speed well, but they have no information about the average speed initially. Additionally, average speed helps determine the relationship between distance and time. Furthermore, this topic discusses the Average Velocity Formula, its derivation, and a solved example.

To understand average velocity, students first need to know velocity and velocity refers to the rate of change of displacement with respect to time. It also uses the velocity formula to calculate. Students can take the help of Extramarks website for learning Average Velocity Formula.

## Velocity

Science is one of the most dynamic subjects for students to learn and understand the fundamental and important concepts of the universe that surrounds us in everyday life and make it easier for students to understand the why and how behind everything. Students are filled with excitement as they can see first-hand how their learning is relevant to their daily lives. Undergraduate science is divided into three majors: Physics, Chemistry, and Biology. Physics is the study of matter that involves observing the behaviour of the universe. Physics is the most dynamic research field in the natural sciences. This subject deals with important issues of everyday life, such as reflection and refraction of light, lenses and mirrors, energy and resources, and the study of carbon. As a result, the student feels that Physics is one of the most interesting subjects. An exact description of movement was given by Sir Isaac Newton. All these quantities are described with respect to one parameter: time. Here, students discuss the Average Velocity Formula  and its mathematical representation, as well as its graphical representation.

Physics follows a different approach. Before understanding average velocity, students must understand what exact velocity is, what velocity is, and how the two velocities are related. The velocity of an object refers to the change in position of that object over time. Velocity, on the other hand, is nothing but the speed defined relative to the direction an object is moving.  The Average Velocity Formula defined here is the ratio of the object’s displacement from point a to point b and the time it takes to make the displacement from point a to point b. Note the use of the term travel instead of distance for emphasis.

## Average Velocity

The Average Velocity Formula is known as the average of a given number of velocities. The Average Velocity Formula is the displacement of an object over time. To find the Average Velocity Formula of an object, divide the distance travelled by the elapsed time velocity is a vector quantity and average velocity can be found by dividing displacement by time and the units used for velocity can be derived from its definition. Meters per second (standard SI units) or any distance unit or any time unit. Determining the Average Velocity Formula of an object can be very useful in understanding its overall movement if its velocity is continuously changing over a period of time. A mathematical description of the Average Velocity Formula is given by Vav. The Average Velocity Formula includes the total distance travelled and the total time it takes to travel. For every position, students are given xi and xf and corresponding time intervals ti and tf. Use the formula given below to find the net displacement across motion for a given object. The initial direction of movement of a given object in a problem is taken as the direction of the entire course up to which it is given.

### Average Velocity Formula

It refers to the variation between the start and end positions, divided by the start and end times. Velocity also has direction and magnitude. Also, the unit of measurement is meters per second (m/s).

• The Average Velocity Formula is:

Average Velocity Formula = (end position)-(start position)(end time)-(start time)

### Derivation of the Formula

Formula derivation

v.av.g = average velocity in meters/second

x1 = object start position in meters/second

x2 = refer to the end position of the object in meters/second

t1 = refers to the start time of the movement in sec/sec

t2 = end time of movement in seconds/seconds

### Solved Example On Average Velocity Formula

Example 1: While driving, the man saw a road sign that said Chennai He was 220 km away. Also, an hour later, he saw another sign saying Chennai – 100 km away. Calculate the speed of the car the man is driving?

Solution:To solve the speed problem, it is important to choose the direction to solve. Again, this question expresses location as a distance from a place. Therefore, students choose x = 0 for the Chennai location. Students also assume that the distance values ​​are positive, so the vehicle is moving in the negative direction x(-x). If this definition is used for direction, the resulting value for velocity will be negative. In this case, the starting position is x1 = 220 km and the ending position is x2 = 100 km. Also, since the travel time is given as a difference, choose a start time of t1 = 0 hours and an end time of t2 = 1.0 hours. But the question asked for the velocity value to be in meters/second. To fix this, convert kilometres to meters and hours to seconds.