The purpose of this project is to explore how launch angle affects projectile range using mathematics, Excel, and basic aerospace principles.
Why does a projectile launched at 45° achieve the maximum range when launch velocity remains constant?
- Launch Velocity = 100 m/s
- Gravity = 9.81 m/s²
- Air Resistance = Ignored
The analysis showed that a launch angle of 45° produced the maximum horizontal range.
Interestingly, complementary angles produced identical ranges:
- 10° and 80°
- 20° and 70°
- 30° and 60°
- 40° and 50°
This helped demonstrate how mathematical relationships influence projectile motion.
- Projectile Motion
- Launch Dynamics
- Flight Path Analysis
- Aerospace Fundamentals
- Mathematical Modeling
- Quantitative Thinking
- Applied Mathematics
- Excel Analysis
- Data Visualization
- Engineering Problem Solving
- Aerospace Fundamentals
Before working on this analysis, I assumed that increasing launch angle would continuously increase range.
However, I discovered that range only increases up to a certain point and reaches its maximum at 45°. This small study helped me better understand how mathematics can be used to predict real-world flight behavior.
- Flight Time Analysis
- Maximum Altitude Analysis
- Air Resistance Modeling
- Python-Based Simulation
- Expanded Flight Conditions
- Excel Spreadsheet Excel Spreadsheet
- Data Visualization Data Visualization
- Engineering Notes Engineering Notes
Sarp AKAR