By Zencalcy Editorial TeamLast reviewed About us
When an object is launched horizontally, its vertical motion starts from rest and its horizontal speed stays constant. The fall time therefore depends only on the launch height, and the range is the horizontal speed multiplied by that time.
Range, time and impact speed for a horizontal launch.
t = √(2h / g) R = v · t v_impact = √(v² + (g t)²)
The horizontal velocity never changes in the vacuum model. The impact speed combines it with the vertical velocity gained during the fall.
| Symbol | Meaning |
|---|---|
| h | Launch height, in metres. |
| v | Horizontal launch speed, in metres per second. |
| t | Flight time, in seconds. |
| R | Horizontal range, in metres. |
The fall takes about 2.019 s, so the object lands 20.19 m away with an impact speed near 22.19 m/s.
Continue with the Impulse and Momentum Calculator, Inclined Plane Calculator, or the Maximum Height Calculator — or browse more kinematics tools and all physics calculators.
No. Vertical motion is independent of horizontal motion, so the fall time depends only on height.
Results are computed from the standard equations of classical mechanics. Unit conversions use the SI definitions published by NIST. Air resistance is ignored unless the calculator names a drag model.
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Content updated: September 2026