How to Use Particle Velocity Calculator
- Pick a mode based on what’s known.
- Enter the required inputs in SI units.
- Read v in m/s.
Formula & Theory - Particle Velocity Calculator
Mode 1 — average speed:
v = s / t
Mode 2 — constant acceleration:
v = u + a · t
Mode 3 — from kinetic energy:
KE = ½ · m · v² ⇒ v = √( 2 · KE / m )| Symbol | Meaning | SI unit |
|---|---|---|
| s | Distance travelled | m |
| t | Elapsed time | s |
| u | Initial velocity | m/s |
| a | Acceleration | m/s² |
| KE | Kinetic energy | J |
| m | Mass | kg |
Assumptions and Limits
- Newtonian (non-relativistic) regime.
- Mode 2 assumes constant acceleration over the interval.
- All quantities are scalar magnitudes.
Use Cases for Particle Velocity Calculator
- Physics homework — Convert between energy, time and velocity views.
- Free-fall — With a = 9.81 m/s² and u = 0, find impact speed.
- Particle physics labs — Estimate non-relativistic speeds from kinetic energy.
The Particle Velocity Calculator consolidates the three common ways to find v.