Mechanics
Velocity
Velocity is the rate of change of displacement with respect to time.
Variables
vm/s
Velocity
Rate of change of position
Δxm
Displacement
Change in position
Δts
Time interval
Elapsed time
Allowed values: greater than 0
Derivation
Velocity is defined as the derivative of position: v = dx/dt.
Your notes
0/5000
Check value
Round inputs run through this page's calculator. Use it to test your own working or a rearranged form. It is a test case, not a real-world example.
- Δx = 2 m (Displacement)
- Δt = 3 s (Time interval)
Result: v = 0.66666667 m/s
Other mechanics formulas with the same quantities
- Drag Force (Dynamics) shares Velocity
- Kinetic Energy (Work & Energy) shares Velocity
- Power (Work & Energy) shares Velocity
- Momentum (Momentum) shares Velocity
- Impulse (Momentum) shares Time interval
- Angular Velocity (Rotational Motion) shares Time interval
Where this formula is listed
- Mechanics formulas, under Kinematics, alongside Kinematic Equation 2, Kinematic Equation 3, Kinematic Equation 4, Free Fall and Projectile Range.
- In the mechanics list it comes before Acceleration.
- Mechanics formula sheet, one of 58 formulas printed with symbol keys and SI units.
- The full formula index, grouped by category and topic.
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.