Projectile range

Projectile range: use launch speed, launch angle above horizontal, gravitational acceleration. Review the formula, worked example and calculation steps.

Inputs

Use the units shown
RESULT
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Formula & explanation
Range = v² sin(2θ)/g

Variables & units

Launch speed
m/s · minimum 0, maximum 1000000000000
Launch angle above horizontal
° · minimum 0, maximum 90
Gravitational acceleration
m/s² · minimum 5e-324, maximum 1000000000000

Worked example

Use the displayed example inputs, then follow the substituted values in the solution.

Assumptions

Launch and landing at equal height in a uniform field; no drag.

References

Formula version 1.0.0. JavaScript floating-point arithmetic applies. Results display up to 6 decimal places; stored values retain available precision. Use the units shown.

Practice with an example

Use the default input values to find the answer. The reset icon restores those values.

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