Calculator inputs
Enter known values. Leave one blank for auto detect, or select a target manually.
Example data table
| Scenario | s (m) | u (m/s) | v (m/s) | a (m/s²) | t (s) | Key result |
|---|---|---|---|---|---|---|
| Car starts from rest | 100 | 0 | 20 | 2 | 10 | Uniform acceleration over ten seconds |
| Train brakes to stop | 150 | 30 | 0 | -3 | 10 | Stopping distance under steady deceleration |
| Runner speeds up | 56 | 3 | 11 | 1 | 8 | Velocity rises with constant acceleration |
Formula used
These equations apply to straight-line motion with constant acceleration.
- 1.
v = u + a t - 2.
s = ((u + v) / 2) t - 3.
s = u t + 0.5 a t² - 4.
s = v t - 0.5 a t² - 5.
v² = u² + 2 a s
How to use this calculator
- Enter the known SUVAT values in the input fields.
- Leave one field blank for auto detection, or choose a target.
- Pick the number of decimal places for the answer.
- Press the calculate button to solve the missing variable.
- Review the solved value, supporting methods, and derived motion values.
- Download the result as CSV or PDF if needed.
Frequently asked questions
1. What does SUVAT stand for?
SUVAT represents displacement, initial velocity, final velocity, acceleration, and time. These variables describe one-dimensional motion with constant acceleration.
2. When should I use SUVAT equations?
Use them for straight-line motion when acceleration stays constant. They are common in school physics, engineering basics, and motion verification tasks.
3. Can this calculator solve any missing variable?
Yes, it can solve s, u, v, a, or t when the entered values provide a valid constant-acceleration relation.
4. Why do some methods give two roots?
Quadratic equations can return two real answers. That often happens when solving time or signed velocity in motion that can occur in more than one valid way.
5. Why is my result negative?
Negative values may be physically correct. They can represent reverse direction, deceleration, or a reference axis chosen opposite to the motion.
6. Why does the calculator warn about inconsistent inputs?
If multiple equations produce conflicting answers, the values likely use mixed units, wrong signs, or break the constant acceleration assumption.
7. What units should I use?
Use consistent units throughout. The default labels assume meters, seconds, meters per second, and meters per second squared.
8. What does the graph show?
The Plotly chart shows displacement and velocity against time when the calculator can resolve a usable motion interval and constant acceleration profile.