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Mechanics
Mechanics

Average Velocity

vavg=xf−xitf−tiv_{avg} = \frac{x_f - x_i}{t_f - t_i}

Average velocity is the total displacement divided by total time elapsed.

Variables

v_avg
Average velocity
Mean velocity over interval
m/s
x_f
Final position
Position at time t_f
m
x_i
Initial position
Position at time t_i
m
t_f
Final time
End of time interval
s
t_i
Initial time
Start of time interval
s

Derivation

By definition, average velocity is Δx/Δt = (x_f - x_i)/(t_f - t_i).

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Common questions

What is the Average Velocity formula?

Average Velocity is written vₐᵥg = x_f - xᵢ/t_f - tᵢ. Average velocity is the total displacement divided by total time elapsed. It belongs to Mechanics, under Kinematics.

What are the units in vₐᵥg = x_f - xᵢ/t_f - tᵢ?

In SI units, v_avg is average velocity, measured in m/s; x_f is final position, measured in m; x_i is initial position, measured in m; t_f is final time, measured in s; t_i is initial time, measured in s.

How is the Average Velocity formula derived?

By definition, average velocity is Δx/Δt = (x_f - x_i)/(t_f - t_i). The result is vₐᵥg = x_f - xᵢ/t_f - tᵢ.