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Maximum height and range are related as follows. Which of the following is correct?

1. H = (u² sin² 45°) / 2g
2. Range, R = u² sin 90° / g
3. R / 2 = u² / 2g
4. tan α = H / (R / 2)

Correct answer: tan α = H / (R / 2)

Solution

The correct relationship is given by tan α = H / (R / 2), where H is the maximum height, R is the range, and α is the angle of projection. This equation relates the height and range geometrically.

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