Artillery Challenge
Two Angles, Same Distance
The Challenge: Find two DIFFERENT angles that land at the same distance - using the same pressure!
⚠ Your two angles must be at least 15° apart! ⚠
Example: 30° and 60° work (30° difference). 40° and 50° don't work (only 10° apart).
Example: 30° and 60° work (30° difference). 40° and 50° don't work (only 10° apart).
The Physics Secret: Complementary Angles
⤴
Low: 25°
Fast & flat
= Same Distance! =
⤴
High: 65°
Slow & arcing
In theory, angles that add up to 90° land at the same spot (25° + 65° = 90°)
How to Play
- Set your pressure - this stays the same for both shots
- Pick your first angle and launch - mark where it lands
- Choose a second angle (must be 15°+ different) and launch
- Measure the gap between your two landing spots
- Smallest gap wins!
Example Round:
Player A: 30° lands at 85 ft, 55° lands at 82 ft → Gap: 3 ft
Player B: 25° lands at 90 ft, 70° lands at 78 ft → Gap: 12 ft
Player C: 35° lands at 88 ft, 52° lands at 87 ft → Gap: 1 ft ← WINNER!
Player A: 30° lands at 85 ft, 55° lands at 82 ft → Gap: 3 ft
Player B: 25° lands at 90 ft, 70° lands at 78 ft → Gap: 12 ft
Player C: 35° lands at 88 ft, 52° lands at 87 ft → Gap: 1 ft ← WINNER!
Strategy Tips
- Complementary angles (adding to 90°) should theoretically match
- Start with 30° and 60° - classic complementary pair
- Air resistance means real results differ from theory - experiment!
- Low angles are more affected by air resistance than high angles
Scoring Variants
- Basic: Smallest gap between two landings wins
- Perfect Match: Landing within 2 feet of each other = 10 bonus points
- Triple: Find THREE angles that land close together!
- Theory Test: Predict which angles will match, then test your prediction
Science Connection: This demonstrates a key physics principle: for any target distance (except maximum range), there are TWO angles that will hit it. Artillery gunners have known this for centuries - a "low trajectory" (direct fire) and "high trajectory" (indirect fire) can reach the same target!