Average Velocity Formula

Average Velocity Formula – The term motion can be defined in terms of physical quantities such as speed, velocity, distance, displacement, and acceleration. Sir Isaac Newton gave an accurate description of motion. All of these values are defined in terms of one parameter, which is time. We will cover average velocity, as well as its mathematical and graphical representations.

What is an Average Velocity?

The term average simply indicates the ratio of the sum of quantities to the total number of quantities. In Physics, a different technique is used. Now, before we get into average velocity, let’s define velocity, speed, and how they’re related.

The speed of an item is the change in its position over time. Velocity, on the other hand, is simply the speed specified by the direction in which an object travels.

Let’s proceed to the average velocity for the time being, before delving more into the distinction between speed and velocity. According to the definition, average velocity is the ratio of an object’s displacement from point a to point b to the time it takes to go that distance. It is worth noting that we use the term movement rather than distance to emphasise direction.

Algebraically, average velocity is defined as –

$$v = frac{v}{t}$$

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 = Total displacement / Total 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

Average Velocity

Average velocity is defined as the average value of a given set of velocities. Average velocity is an object’s displacement over time. To calculate the average speed of an item, divide the distance travelled by the time elapsed. We know that velocity is a vector quantity, and the average velocity may be calculated by dividing displacement by time.

The units used for velocity may be obtained from its definition, which is metres per second (standard SI unit) or any distance unit multiplied by any unit of time. If a body’s velocity varies continuously over a certain period of time, calculating the average velocity of that object can help you estimate its overall journey.

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.