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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Answer & Solution

Correct Answer

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

Detailed explanation

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

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

\(=\sqrt{\left(\sqrt{\frac{2 {h}}{{g}}} \cdot {v}\right)^{2}+{h}^{2}}\)

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

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