Velocity Calculator
Master kinematics with our interactive velocity calculator. Solve for velocity, distance, or time instantly with unit conversions!
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What is Velocity?
Velocity is a vector quantity describing the rate of change of position with respect to time. It has both magnitude and direction.
v = Δx / ΔtAverage Velocity
Average velocity is the total displacement divided by total time. It considers only the straight-line start-to-end distance.
v = (x₂−x₁)/(t₂−t₁)Instantaneous Velocity
Velocity at a specific instant in time. It is the derivative of position with respect to time — limit of average velocity as Δt → 0.
v = dx/dtSI Unit & Dimensions
The standard unit of velocity is metre per second (m/s). Its dimensional formula is [M⁰ L¹ T⁻¹].
[M⁰ L¹ T⁻¹]Types of Velocity
Variables & Symbols
All mathematical symbols used in velocity formulas
| Symbol | Quantity | SI Unit | Type |
|---|---|---|---|
| v | Final Velocity | m/s | Vector |
| u | Initial Velocity | m/s | Vector |
| d / s | Distance / Displacement | m | Scalar / Vector |
| t | Time | seconds (s) | Scalar |
| a | Acceleration | m/s² | Vector |
| g | Gravitational Accel. | 9.81 m/s² | Vector |
| Δx | Change in Position | m | Vector |
| Δt | Change in Time | s | Scalar |
Key Velocity Equations
Most important formulas for velocity problems
Free Physics Calculators for Students & Educators
irfanedu.com · Physics Calculator Series · Unit 01: Velocity