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A body is projected with a certain speed at angles of projection of $θ$ and 90 - $θ$ . The maximum height attained in the two cases is 20m and 10m respectively. The maximum possible range for this initial velocity is

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answer is 60.

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Detailed Solution

$\frac{u^{2} \sin^{2} θ}{2 g} = 20$

$\frac{u^{2} \cos^{2} θ}{2 g} = 10$

$\frac{u^{2}}{2 g} = 30$

Max Range

$\frac{u^{2}}{g} = 60$

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