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Horizontal projection from a height (aircraft drop, cliff, tower)

This type of question, asked 4 times: 2021 Paper 22, 1 Feb 2023, 8 Apr 2024, 7 Apr 2025. All 4 questions below, oldest first.

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  1. Question 1

    2021 Paper 22

    1
    A helicopter is flying horizontally with a speed ' vv ' at an altitude ' hh ' 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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  2. Question 2

    1 Feb 2023

    1
    A child stands on the edge of the cliff 10 m10\text{ }m above the ground and throws a stone horizontally with an initial speed of 5 ms−15{\text{ }ms}^{- 1}. Neglecting the air resistance, the speed with which the stone hits the ground will be ms−1ms^{- 1} (given, g=10 ms−2g = 10{\text{ }ms}^{- 2} ).

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  3. Question 3

    8 Apr 2024

    119
    A body of mass MM thrown horizontally with velocity vv from the top of the tower of height HH touches the ground at a distance of 100 m100\text{ }m from the foot of the tower. A body of mass 2M2M thrown at a velocity v2\frac{v}{2} from the top of the tower of height 4H4H will touch the ground at a distance of _____ m.

  4. Question 4

    7 Apr 2025

    93
    A helicopter flying horizontally with a speed of 360 km/h360\text{ }km/h at an altitude of 2 km , drops an object at an instant. The object hits the ground at a point O , 20 s after it is dropped. Displacement of 'O' from the position of helicopter where the object was released is :(use acceleration due to gravity g=10 m/s2g= 10\text{ }m/s^{2} and neglect air resistance)

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