Find gravitational velocity from height, time, or gravity. Download tables, reports, and plotted motion data. Use clear formulas, examples, and practical steps for accuracy.
This calculator estimates downward velocity during motion under gravity. It supports time based calculations and height based calculations. You can choose a preset body, enter custom gravity, or compute gravity from mass and radius.
The tool also reports displacement, average velocity, and energy per kilogram. That makes it useful for physics practice, quick comparisons, and rough motion studies. The graph helps you see how velocity and displacement change through time.
The sign convention is simple. Downward motion is treated as positive. If an object starts upward, enter a negative initial velocity. That keeps the formulas consistent and the results easier to interpret.
Time based velocity: v = u + gt
Time based displacement: s = ut + ½gt²
Height based velocity: v = √(u² + 2gh)
Height based time: t = (-u + √(u² + 2gh)) / g
Gravity from mass and radius: g = GM / r²
Where: v = final downward velocity, u = initial downward velocity, g = gravitational acceleration, t = time, h = downward height, G = gravitational constant, M = body mass, r = distance from center.
| Case | Gravity (m/s²) | Initial Downward Velocity (m/s) | Input | Final Velocity (m/s) | Displacement (m) |
|---|---|---|---|---|---|
| Earth drop for 2 s | 9.80665 | 0 | t = 2 s | 19.6133 | 19.6133 |
| Moon drop for 5 s | 1.62 | 0 | t = 5 s | 8.1 | 20.25 |
| Mars fall through 50 m | 3.71 | 10 | h = 50 m | 21.703 | 50 |
| Custom gravity fall through 12 m | 12 | 3 | h = 12 m | 17.2337 | 12 |
It finds velocity caused by gravitational acceleration. You can solve from elapsed time or travel height. It also reports displacement, average velocity, energy per kilogram, and a motion graph.
Yes. The formulas treat downward motion as positive. Enter a downward starting speed for direct falling cases. For upward launches, use a negative initial velocity and read the sign convention carefully.
Yes. Choose a preset body from the list. The calculator includes Earth, Moon, Mars, Venus, Mercury, and Jupiter for quick comparisons.
It calculates local gravitational acceleration from a body's mass and radius. That helps when you want a custom planet, moon, or theoretical object instead of a fixed preset.
Time mode starts from a known duration. Height mode starts from a known travel distance. Different inputs describe different motion paths, so the outputs can differ.
It uses SI units. Enter velocity in meters per second, height in meters, time in seconds, mass in kilograms, and radius in meters.
Yes. After calculation, use the CSV button for spreadsheet style output or the PDF button for a clean report you can save or share.
It is best for learning, estimation, and general analysis. Real systems may include drag, changing gravity, rotation, or reference frame effects that this simple model does not include.
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.