Ballistic Horizontal Range Level Ground
Use this ballistic horizontal range level ground tool when you have measured values for speed mps, angle deg. It applies a transparent mathematical relationship to those values to return an answer in m. Unlike a prediction or recommendation, this is a calculation from your inputs. Ignores aerodynamic drag and ground elevation differences. Enter a different scenario to see how this particular quantity changes; check the assumptions before using it in a project.
How to use this calculator
- Use exact measurements and consistent units for speed mps, angle deg.
- Enter each quantity; blank, nonnumeric and out-of-range inputs are not accepted.
- Compare the reported m quantity against your own data and the limitations below.
Formula for Ballistic Horizontal Range Level Ground
m = speed_mps*speed_mps*sin(2*angle_deg*π/180)/9.80665. Inputs are expressed in the units shown by the labels.
- This uses a direct mechanics relationship and does not retrieve remote data, forecasts or individual account information.
- Ignores aerodynamic drag and ground elevation differences.
Worked examples
Worked example — Ballistic Horizontal Range Level Ground
Enter Speed mps = 25, Angle deg = 35.
Apply speed_mps*speed_mps*sin(2*angle_deg*π/180)/9.80665.
Calculated value: approximately 59.88874 m.
Understanding the result
The example produces about 59.88874 m; this is a mathematical output for the example inputs, not an observed result for your project.
Ignores aerodynamic drag and ground elevation differences.
Important notes
Ignores aerodynamic drag and ground elevation differences.
Use values from the same measurement period or physical system. The result is in m and is not a guarantee of capacity, safety, ranking or revenue.
Frequently asked questions
What does Ballistic Horizontal Range Level Ground calculate?
It converts speed mps, angle deg into a quantity measured in m using the stated formula.
Which assumption matters most?
Ignores aerodynamic drag and ground elevation differences.
How can I check this output?
Recalculate the worked example from the input quantities, confirm units and compare with direct measurements where available. This calculator does not fetch live data.
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Learn the method behind the number or compare the terminology before using the calculator.
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This page provides a calculation tool plus explanatory information so you can understand what the result means and when the underlying method may not fit your situation.