A projectile has the same range R when the maximum height attained by it either H₁ or H₂.
Find relationship between R, H₁ and H₂.
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R = u² sin 2Ф1 / g = u² sin (180 - 2Ф1) / g = u² sin 2(90-Ф1) /g
R is same for Ф1 and 90-Ф1.
H1 = R tanФ1 /4
H2 = R tan (90-Ф1) /4 = R /4 tanФ1
H1 H2 = R² / 16
R is same for Ф1 and 90-Ф1.
H1 = R tanФ1 /4
H2 = R tan (90-Ф1) /4 = R /4 tanФ1
H1 H2 = R² / 16
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