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A body is projected with a certain speed at angles of projection of θ and 90^o - θ. The maximum height attained in the two cases are 20 m and 10 m respectively. The maximum possible range is

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20 m

30 m

60 m

80 m

answer is C.

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Detailed Solution

H₁ = 20, H₂ = 10

$H_{1} + H_{2} = \frac{u^{2}}{2 g} \Rightarrow u^{2} = 60 g$

$R_{max} = \frac{u^{2}}{g} = \frac{60 g}{g} = 60 m$

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