Ideal-model scope: For a point projectile launched and landing at the same height, with uniform g and negligible air resistance, test why 45° gives maximum range and complementary angles share equal ranges.

Launch Angle Analyser

Fixed speed: 25 m/s · g = 9.8 m/s²

vs
Key insight: 45° gives maximum range at fixed speed under these conditions. Complementary angles θ and (90°−θ) have equal ranges but different maximum heights and flight times.

Preset Data (v₀ = 25 m/s)

Angle (°)Range (m)Max height (m)Flight time (s)

Range vs Angle Graph

Launch Angle (°) Range (m)
● Peak at 45°   ● First angle   ● Second angle