Calculation history
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| Time | Mode | Result |
|---|
Formula guide
| Calculation | Formula | Use |
|---|---|---|
| Average velocity | v = Δx ÷ Δt | Net displacement over elapsed time. |
| Final velocity | vₓ = vᵢ + at | Constant acceleration with known time. |
| Without time | vₓ² = vᵢ² + 2aΔx | Constant acceleration without elapsed time. |
| 2D resultant | v = √(vₓ² + vᵧ²) | Combines perpendicular components. |
| Linear velocity | v = rω | Converts angular motion into linear speed. |
| Escape velocity | vₑ = √(2GM ÷ r) | Ideal speed needed to escape gravity. |
How to use this calculator
Select the calculation mode matching your known values. Enter each value and choose its correct unit. Then select the preferred output velocity unit.
Use vector mode when direction matters. Choose scalar mode for magnitude only. Review the assumptions shown beside specialised calculations.
Press calculate to view formulas and conversion results. Export the result as CSV or PDF. Use print for a clean record.
Example data
| Mode | Inputs | Expected result |
|---|---|---|
| Average velocity | 100 m over 10 s | 10 m/s |
| Final velocity | 0 m/s, 2 m/s², 5 s | 10 m/s |
| 2D resultant | 3 m/s and 4 m/s | 5 m/s |
| Circular motion | 10 m radius, 8 s period | 7.854 m/s |
Frequently asked questions
What is velocity?
Velocity measures displacement per unit time. It includes both magnitude and direction.
How does velocity differ from speed?
Speed is scalar and ignores direction. Velocity is a vector and includes direction.
Can velocity be negative?
Yes. A negative value indicates motion opposite the chosen positive direction.
Why must elapsed time exceed zero?
Division by zero is undefined. A positive interval is required for average velocity.
What does constant acceleration mean?
It means acceleration does not change during the analysed time interval.
What is relative velocity?
Relative velocity describes one object's motion as observed from another moving object.
Does projectile mode include air resistance?
No. It uses an ideal trajectory with constant gravity and no drag.
How accurate is terminal velocity?
It is an estimate. Accuracy depends on drag coefficient, density, and area.
Can I calculate several journey segments?
Yes. Add segments to compare total distance, displacement, speed, and velocity.