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# Average Velocity In Constant Acceleration

When an object is moving then its speed changes and its velocity. The average velocity is its total displacement by the object divided by the total time taken by it from initial to final point. Average velocity is a directional quantity which tells its rate of change of distance.Â  Acceleration is a vector quantity which represents how fast and in what direction the objectâ€™s velocity is changing.When the rate of change of velocity is constant, then that rate isÂ constant acceleration. For instance, if the velocity of an object moving in one-dimension changes in linear manner from 3 m/s to 7 m/s in two second, then the constant acceleration of the moving object isÂ

Average velocity describes how the displacement is changing with respect to time. Average velocity is a vector quantity which means it needs direction as well as magnitude so it can take any positive or negative value depending in which direction the object is moving.

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Average Velocity In Constant Acceleration
Just from $9/Page Average Speed is a scalar quantity that signifies only the magnitude of the rate of change of movement of an object. We canâ€™t say as Average speed is the magnitude of average velocity because it involves distance and displacement respectively. For example: Suppose a girl cover the distance from Red dot to her present position in 12 secs as shown in image. {\rm{Average speed = }}\frac{{{\rm{Total distance}}}}{{{\rm{Total time}}}}Averagespeed= Totaltime Totaldistance â€‹ {\rm{Average speed = }}\frac{{12{\rm{ meters}}}}{{{\rm{12 seconds}}}} = 1{\rm{ m/s}}Averagespeed= 12seconds 12meters â€‹ =1m/s {\rm{Average velocity = }}\frac{{{\rm{Total displacement}}}}{{{\rm{Total time}}}}Averagevelocity= Totaltime Totaldisplacement â€‹ {\rm{Average velocity = }}\frac{{{\rm{3 meters}}}}{{12{\rm{ seconds}}}} = 0.25{\rm{ m/s (East)}}Averagevelocity= 12seconds 3meters â€‹ =0.25m/s(East) Speed of the girl is 1 m/s but on the other hand, the expression for the average velocity of the same girl will be 0.25 m/s, east. (With direction) Velocity can be easily calculated. We just need to divide the total displacement by the total time elapsed, which is given by \overline v = \frac{{\Delta x}}{{\Delta t}} v = Î”t Î”x â€‹ The average velocity between two points is the slope of the line connecting those two points on the distance-time graph. Where \overrightarrow v v is the average velocity, \Delta xÎ”x is the displacement , and \Delta tÎ”t is the total time from initial to final position Constant acceleration The change in speed is called as velocity while the change in velocity is known as acceleration. If an object is accelerated, then its velocity is changing. The acceleration is defined as the rate of change of velocity with time. This word acceleration is generally used to represent the changing state of speed that is it could be increase or decrease in speed. The acceleration depends either on change in velocity or on the change in the direction of motion with time. This is why the acceleration is considered as vector quantity because it consist of both the magnitude and direction. The SI unit of acceleration is m/s2. When the velocity and acceleration are in the same direction the speed of object goes up and when in opposite direction speed slows down. When the rate of change of velocity is constant, then the constant acceleration is given by Acceleration= Change in velocity/Change in time. Constant acceleration for moving object in one-dimension When the acceleration is constant, the instantaneous acceleration is same as average acceleration and from there limit in the instantaneous acceleration goes out of the picture. There are five equations of motion in one dimension that has constant acceleration and when we will observe these formulas, we will realize that all equations are the manipulations of one another. From this basic formula a = \frac{{\Delta v}}{{\Delta t}}a= Î”t Î”v â€‹ we can pull out any equation where is the acceleration. \Delta vÎ”vcan be written as final velocity ( ) – initial velocity( ) and the \Delta tÎ”t can be written as final time ( )- initial time(0). The five equations of motion relate displacement, velocity, constant acceleration and time. ## Get Professional Assignment Help Cheaply Are you busy and do not have time to handle your assignment? Are you scared that your paper will not make the grade? Do you have responsibilities that may hinder you from turning in your assignment on time? Are you tired and can barely handle your assignment? Are your grades inconsistent? Whichever your reason is, it is valid! You can get professional academic help from our service at affordable rates. 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