Mechanics

Velocity

v=ΔxΔtv = \frac{\Delta x}{\Delta t}

Velocity is the rate of change of displacement with respect to time.

Variables

v
Velocity
Rate of change of position
m/s
Δx
Displacement
Change in position
m
Δt
Time interval
Elapsed time
s

Derivation

Velocity is defined as the derivative of position: v = dx/dt.

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Common questions

What is the Velocity formula?

Velocity is written v = Δx/Δt. Velocity is the rate of change of displacement with respect to time. It belongs to Mechanics, under Kinematics.

What are the units in v = Δx/Δt?

In SI units, v is velocity, measured in m/s; Δx is displacement, measured in m; Δt is time interval, measured in s.

How is the Velocity formula derived?

Velocity is defined as the derivative of position: v = dx/dt. The result is v = Δx/Δt.