Projectile Range Calculator

Find how far a projectile travels horizontally.

Launch speed

Launch angle (°)

Gravity (m/s²)

Range 40.775

Formula: R = v₀²·sin(2θ) ÷ g

Step-by-step with your numbers:

1. Values used:

2. Launch speed = 20

3. Launch angle = 45 °

4. Gravity = 9.81 m/s²

6. Range = 40.775

Did we solve your problem today?

Find the horizontal distance a projectile covers on level ground.

The math behind it

R = v₀²·sin(2θ)/g. The range is greatest at a 45° launch angle.

20 m/s at 45° → 40.77 m.

Which angle gives the most range?

45° on level ground (ignoring air resistance).