Velocity
Definition
The rate of change of an object's position with respect to time and direction — speed with a directional component, measured in m/s or ft/s.
Why is Velocity Important?
Velocity is a core physics concept that describes the fundamental behavior of matter and energy. Understanding this principle enables engineers, students, and scientists to design better systems, solve real-world problems, and predict physical phenomena with precision.
Our physics calculators make it easy to compute values related to this concept, bridging the gap between theoretical understanding and practical application in engineering, education, and research.
What is Velocity?
Velocity is a vector quantity that describes the rate of change of an object's position with respect to time and direction. Unlike speed (scalar — magnitude only), velocity includes both magnitude and direction.
Velocity Formulas
| Type | Formula | Units |
|---|---|---|
| Average Velocity | v = Δx / Δt (displacement / time) | m/s, ft/s, mph, km/h |
| Final Velocity (constant acceleration) | v = v₀ + at | m/s |
| Final Velocity (from displacement) | v² = v₀² + 2aΔx | m/s |
| Instantaneous Velocity | v = dx/dt (derivative of position) | m/s |
Speed Comparisons
| Object / Event | Approximate Speed |
|---|---|
| Walking | 3.1 mph (1.4 m/s) |
| Running (average person) | 6–8 mph (2.7–3.6 m/s) |
| Usain Bolt (peak) | 27.8 mph (12.4 m/s) |
| Speed limit (highway) | 65–75 mph (29–34 m/s) |
| Commercial airplane | 575 mph (257 m/s) |
| Sound in air | 767 mph (343 m/s) — Mach 1 |
| Earth's orbital speed | 67,000 mph (30 km/s) |
| Speed of light | 186,282 mi/s (299,792,458 m/s) |