PhysicsChapter 3: Translatory Motion

Complementary Angles Producing Equal Ranges

28. Complementary Angles and Equal Ranges

Two projectiles launched with the same speed have equal ranges when their angles are complementary: θ₁ + θ₂ = 90° Examples include: 30° and 60° 15° and 75° 20° and 70° Both angles have the same value of sin 2θ. The larger angle produces: Greater maximum height Longer time of flight But both ideal projectiles have the same horizontal range.

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Q1. Prove that complementary angles produce equal ranges.

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Important Short Question
Q1. Why do complementary angles produce equal ranges?

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