Calculator Inputs
Choose a solve mode, enter the known values, and submit. The layout uses three columns on large screens, two on medium screens, and one on mobile screens.
Example Data Table
These sample cases show typical constant-acceleration situations. They help users verify units and understand the expected input style.
| Case | Known Inputs | Expected Focus |
|---|---|---|
| Car launch | u = 0 m/s, a = 3 m/s², t = 8 s | Find final velocity and displacement. |
| Train braking | u = 30 m/s, v = 0 m/s, t = 12 s | Find deceleration and stopping distance. |
| Lift motion | s = 24 m, u = 1 m/s, t = 6 s | Find acceleration and final velocity. |
| Runner sprint | s = 100 m, u = 2 m/s, v = 10 m/s | Find average acceleration and sprint time. |
Formula Used
The calculator uses constant-acceleration kinematics in one dimension. It converts every input to SI units internally, solves the active mode, then converts results back to your selected units.
General kinematic equations
- v = u + a × t
- s = u × t + 0.5 × a × t²
- v² = u² + 2 × a × s
- s = ((u + v) / 2) × t
- Average velocity = s / t
Formulas used for the selected mode
- v = u + a × t
- s = u × t + 0.5 × a × t²
How to Use This Calculator
- Select the solve mode that matches the three values you already know.
- Choose the units for velocity, distance, time, and acceleration.
- Enter only the values relevant to that mode. Extra fields may stay blank.
- Click the calculate button to show the result above the form.
- Review the motion table and the graph for displacement, velocity, and acceleration.
- Use the CSV button for spreadsheet work and the PDF button for reports.
Frequently Asked Questions
1) What type of motion does this calculator model?
It models straight-line motion with constant acceleration. That covers speeding up, slowing down, and steady motion. It is ideal for introductory physics, lab checks, and basic engineering calculations.
2) Can I use negative values?
Yes. Negative velocity, displacement, or acceleration can represent reverse direction or opposite acceleration. Keep your sign convention consistent across all inputs for physically meaningful results.
3) Why does the calculator reject some combinations?
Some sets create zero-time divisions, impossible sign relationships, or non-physical negative time. The validation prevents misleading answers when the chosen mode cannot describe the entered motion.
4) What is the difference between speed and velocity here?
Velocity keeps direction, so it may be positive or negative. Speed is shown as magnitude only. For straight-line motion, average speed uses absolute displacement over time.
5) Does the graph use my selected units?
Yes. The plotted time, displacement, velocity, and acceleration values use the units you selected in the form. Internal solving still happens in SI units for consistency.
6) Can this solve free-fall problems?
Yes, if you enter gravitational acceleration with the correct sign. For example, you can use negative acceleration for downward reference or positive acceleration for upward reference.
7) What should I enter for a stationary start?
Enter zero for the initial velocity. This is common for launch, drop, and start-from-rest problems. The remaining values will still solve normally using the selected mode.
8) When should I export CSV or PDF?
Use CSV when you want spreadsheet analysis, documentation tables, or batch comparisons. Use PDF when you need a clean report for homework, clients, lab notes, or project records.