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 ?

Engineering

Physics

Projectile Motion

Question

$\sqrt{\frac{2 gh}{v^{2}}} + h^{2}$

$\sqrt{2 {ghv}^{2} + h^{2}}$

$\sqrt{\frac{2 {ghv}^{2} + 1}{h^{2}}}$

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

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The aeroplane imparts v velocity to the food packet horizontally when dropping.

Horizontal range of food packet $= v \times \sqrt{\frac{2 h}{g}}$

Also, Horizontal distance, travelled by aeroplane $= v \times \sqrt{\frac{2 h}{g}}$

thus, vertical distance between aeroplane and person = h

$distance = \sqrt{\frac{2 v^{2} h}{g} + h^{2}}$

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