How it works
For equal launch and landing heights without drag, horizontal range = v² sin(2θ)/g.
Input definitions
- Launch speed (m/s)
- Enter the value in the labeled unit.
- Launch angle above horizontal (degrees)
- Enter the value in the labeled unit.
- Gravitational acceleration (m/s²)
- Enter the value in the labeled unit.
A worked example
- Launch speed (m/s)
- 20
- Launch angle above horizontal (degrees)
- 45
- Gravitational acceleration (m/s²)
- 9.80665
Assumptions & limits
Ideal educational model in the stated SI units. Real equipment, structural design and safety decisions need appropriate professional analysis; losses are excluded unless entered.
Sources & review
Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.
Method updated 2026-10-18. Content checked against the stated method and examples. Our verification approach.
Common questions
What if the landing point is at a different height?
This equal-height formula will not apply. Air drag, wind and unequal elevations require a different trajectory model.
How does Ideal projectile horizontal range work?
For equal launch and landing heights without drag, horizontal range = v² sin(2θ)/g.
What should I check before using Ideal projectile horizontal range?
Ideal educational model in the stated SI units. Real equipment, structural design and safety decisions need appropriate professional analysis; losses are excluded unless entered.