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Projectile Range Calculator

Estimate an ideal projectile range when launch and landing heights match. Air resistance, wind and curvature are excluded.

Enter your values

m/s
Required unit: m/s. Use a non-negative value.
°
Required unit: °. Use a non-negative value. Allowed range: 0–90.
m/s²
Required unit: m/s². Must be greater than zero.

Use a decimal point, without thousands separators.

Example result
Range
40.78864852 m

The initial result uses the example values. Enter your own values and calculate again.

Edit inputs

How it works

Estimate an ideal projectile range when launch and landing heights match. Air resistance, wind and curvature are excluded.

Inputs and units
Projectile Range Calculator · Inputs and units
InputExample valueWhat to enter
Launch speed20 m/sRequired unit: m/s. Use a non-negative value.
Launch angle45 °Required unit: °. Use a non-negative value. Allowed range: 0–90.
Gravity9.80665 m/s²Required unit: m/s². Must be greater than zero.
R = v²sin(2θ)/g

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Launch speed
20 m/s
Launch angle
45 °
Gravity
9.80665 m/s²

Complete example results

Range
40.78864852 m

Reading the result

Check the units used in the formula together. The result follows the stated ideal model and supplied constants; material, environment and losses are included only where the inputs or method explicitly define them.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Methods & accuracy

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