Find distance from velocity with flexible inputs. Choose formulas for constant, average, or accelerated motion. Clean outputs, graphs, and exports support confident problem solving.
The chart compares signed displacement and velocity over time using the values entered above.
| Method | Inputs | Formula | Distance Result |
|---|---|---|---|
| Constant velocity | v = 12 m/s, t = 15 s | d = v × t | 180 m |
| Average velocity | v_avg = 54 km/h, t = 2 h | d = v_avg × t | 108 km |
| Initial velocity + acceleration | u = 5 m/s, a = 2 m/s², t = 8 s | d = ut + ½at² | 104 m |
| Linear velocity change | u = 10 m/s, v = 22 m/s, t = 6 s | d = ((u + v) ÷ 2) × t | 96 m |
1. Constant velocity: d = v × t
2. Average velocity: d = v_avg × t
3. Initial velocity with constant acceleration: d = ut + ½at²
4. Final velocity with constant acceleration: d = vt − ½at²
5. Linear change between initial and final velocity: d = ((u + v) ÷ 2) × t
Unit conversions used internally:
1 km/h = 0.277777... m/s
1 mph = 0.44704 m/s
1 ft/s = 0.3048 m/s
1 minute = 60 seconds
1 hour = 3600 seconds
For constant velocity, distance equals velocity multiplied by time. When velocity changes, use average velocity or one of the acceleration-based formulas instead.
Use average velocity when you already know the mean speed over the full time interval. It is useful when the motion changes, but the average value is known.
Yes. It supports initial velocity with acceleration, final velocity with acceleration, and linear change between initial and final velocity.
A negative signed result means the net motion points in the opposite direction from your chosen positive axis. The absolute magnitude still shows total displacement size.
Velocity supports m/s, km/h, mph, and ft/s. Time supports seconds, minutes, and hours. Distance outputs include meters, kilometers, miles, and feet.
No. Displacement keeps direction, while absolute distance magnitude removes the sign. They match only when the motion stays in one direction throughout the interval.
The Plotly graph shows how signed displacement and velocity change over time for the selected method. It helps confirm trends and compare motion behavior visually.
Yes. The page includes formulas, examples, step guidance, export tools, and a graph, so it works well for learning, homework, checking, and revision.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.