Science Academy
☰✕

Maximum Range Calculator

🎯 Projectiles. Use the Maximum range (launched at 45°) formula to find maximum range, launch speed: pick the value you want, type the others, and the answer updates as you go.

Rmax=u2gR_{max} = \dfrac{u^2}{g}
Maximum 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

QuantityUnit
Maximum rangem
Launch speedm/s

Worked example

Find the maximum range when Launch speed = 20 m/s.

Using Rmax = u²/g: Maximum range = 40.775 m.

Frequently asked questions

What is the formula for Maximum range (launched at 45°)?

Rmax = u²/g.

What do the letters stand for, and what units are used?

Maximum range in m, Launch speed in m/s.

How do you calculate maximum range?

Put the values into Rmax = u²/g. For example, with Launch speed = 20 m/s, maximum range = 40.775 m.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (maximum range, launch speed) and fill in the others: it rearranges the formula for you.

All physics formulas in the Physics Formulas