Average Velocity Equation

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As we know that velocity is a vector quantity, so we have to use displacement in the place of distance. Therefore we can define average velocity as the ratio of total displacement to total time taken.

          Average velocity = Total displacement/total time

                   V(av) = (xf – xi)/(tf – ti)

                   V(av) = Δx/Δt

                   V(av) = (Vi + Vf)/2

Where,
          xf = final position

          xi = initial position

          tf = final time

          ti = initial time

          Vi = initial velocity

          Vf = final velocity

Unit of average velocity is m/s which is same as velocity.

 
Example: A bike is moving with initial velocity of 65 m/s and it reaches its destiny at 85 m/s. Find its average velocity.

Solution: Given
          Initial velocity= Vi = 65 m/s
          Final velocity = Vf = 85 m/s
Since,
V(av) = (Vi + Vf)/2
          = (65 + 85)/2 = 150/2 = 75 m/s.

 
Example: Calculate the average velocity at a particular time interval of a particle if it is moves 25 m at 3 s and 65 m at 9s along x-axis?

Solution: Given that,
          Initial position = 25 m
          Final position = 65 m
          Initial time = 3 sec
          Final time = 9 sec
Therefore,
          Average velocity = (65 – 25)/(9 – 3)
                                      = 40/6 = 6.67 m/s.



 

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