# 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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