Velocity-Displacement Relation (v² = v₀² + 2ad)
Also known as third kinematic equation · SUVAT v² = u² + 2as · no-time kinematic equation
Enter your known values, leave one input blank, and solves for the missing one. Try different units for next level excitement!
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This is the time-free SUVAT equation: it ties speeds, acceleration, and distance together directly. A car braking from 25 m/s at −8 m/s² stops in d = (0 − 25²)/(2 × −8) ≈ 39 m — no stopwatch required, which is exactly why it powers braking-distance tables. Solving for v or v₀ takes the principal non-negative square root, the standard convention for speeds.
Velocity-Displacement Relation (v² = v₀² + 2ad)
Where
- = Final velocity
- = Initial velocity
- = Acceleration
- = Displacement
Missing one of these? Work it out first, then come back
- Final velocity — Final Velocity (Uniform Acceleration), Displacement from Average Velocity
- Initial velocity — Final Velocity (Uniform Acceleration), Displacement (Uniform Acceleration)
- Acceleration — Newton's Second Law, Final Velocity (Uniform Acceleration)
- Displacement — Displacement (Uniform Acceleration), Displacement from Average Velocity