Range on Level Ground Calculator
🎯 Projectiles. Use the Range on level ground formula to find range, launch speed, angle θ, g: pick the value you want, type the others, and the answer updates as you go.
Range40.775 m
Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.
What each letter means
| Quantity | Unit |
|---|---|
| Range | m |
| Launch speed | m/s |
| Angle θ | ° |
| g | m/s² |
Worked example
Find the range when Launch speed = 20 m/s, Angle θ = 45 °, g = 9.81 m/s².
Using R = (v²sin 2θ)/g: Range = 40.775 m.
Frequently asked questions
What is the formula for Range on level ground?
R = (v²sin 2θ)/g.
What do the letters stand for, and what units are used?
Range in m, Launch speed in m/s, Angle θ in °, g in m/s².
How do you calculate range?
Put the values into R = (v²sin 2θ)/g. For example, with Launch speed = 20 m/s, Angle θ = 45 °, g = 9.81 m/s², range = 40.775 m.
Can I solve for a different value?
Yes. In the calculator above, pick the circle next to any value (range, launch speed, angle θ, g) and fill in the others: it rearranges the formula for you.
