JEE Main202131 Aug 2021Morning ShiftPhysicsMotion in Two DimensionsActual
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 ?
Options
- A2 g h v 2 + 1   h 2
- B2 g h v 2 + h 2
- C2 g h v 2 + h 2
- D2 v 2   h   g + h 2
Correct answer
D. 2 v 2   h   g + h 2
Step-by-step solution
The aeroplane imparts v velocity to the food packet horizontally when dropping. Horizontal range of food packet = v × 2 h g Also, Horizontal distance, travelled by aeroplane = v × 2 h g thus, vertical distance between aeroplane and person = h distance = 2 v 2   h   g + h 2