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?

Question

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? (A) √(2 g h v2+1/h2) (B) √2 ghv 2+ h 2 (C) √(2 v 2 h / g )+ h 2 (D) √(2 gh / v 2)+ h 2

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/977c40452c053e4a656e7a764ce4ca96-.png" /> R =√(2 h / g ) ⋅ v D =√ R 2+ h 2 =√(√(2 h / g ) ⋅ v )2+ h 2 D =√(2 hv 2/ g )+ h 2

Q. 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?

$\frac{2 g h v ^{2} + 1}{h ^{2}}$

$2 g h v^{2} + h^{2}$

$\frac{2 v ^{2} h}{g} + h^{2}$

$\frac{2 g h}{v ^{2}} + h^{2}$

$R = \frac{2 h}{g} \cdot v$
$D = R^{2} + h^{2}$
$= (\frac{2 h}{g} \cdot v)^{2} + h^{2}$
$D = \frac{2 h v ^{2}}{g} + h^{2}$

Q. 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?

h22ghv2+1​​

2ghv2+h2​

g2v2h​+h2​

v22gh​​+h2