ONE FORMULA, ONE ANSWER
Projectile Range Calculator
Calculate ideal projectile range when launch and landing heights match. Choose input units and calculate one value within the stated conditions.
Inputs
Calculations run in this browser. Scientific notation such as 1.2e-3 is supported. Do not group thousands.
Result
Same-height horizontal range R
Enter values and select Calculate.
R = v₀² sin(2θ)/g
Assumptions
Required: v₀≥0, g>0, 0≤θ≤90° and equal launch and landing heights in uniform gravity. Excluded: air resistance and lift. Only one range value is returned.
Displayed values are floating-point approximations. Design safety factors and unprovided error contributions are not calculated.
Formula references and credits
NaNa Lab created the code, descriptions, icons and preview images. Text, figures and code from the linked references have not been reproduced.
Physical constants: NIST / CODATA 2022. The values of μ₀ and ε₀ are measured recommendations, not exact defining constants. Values and precision notes are in the source record.
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