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A helicopter is flying horizontally with a speed 'v' at an altitude 'h' has to drop a food packet for a man on the ground. What is the distance of helicopter from the man when the food packet is dropped?

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A helicopter is flying horizontally with a speed 'v' at an altitude 'h' has to drop a food packet for a man on the ground. What is the distance of helicopter from the man when the food packet is dropped?

(1) \(\sqrt{\frac{2ghv^2 + 1}{h^2}}\)

(2) \(\sqrt{2ghv^2 + h^2}\)

(3) \(\sqrt{\frac{2v^2h}{g}+h^2}\)

(4) \(\sqrt{\frac{2gh}{v^2}} + h^2\)

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Correct answer: (3) \(\sqrt{\frac{2v^2h}{g}+h^2}\)

Explanation:

R = \(\sqrt{\frac{2h}{g}}.v\)

D = \(\sqrt{R^2 + h^2}\)

= \(\sqrt{\Big(\sqrt{\frac{2h}{g}}.v\Big)^2 +h^2}\)

D = \(\sqrt{\frac{2v^2h}{g}+h^2}\)

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