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Projectile whose range is a given multiple of its maximum height

This type of question, asked 3 times: 25 Jul 2022, 8 Apr 2024, 3 Apr 2025. All 3 questions below, oldest first.

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  1. Question 1

    25 Jul 2022

    108
    A ball is projected from the ground with a speed 15 ms−115{\text{ }ms}^{- 1} at an angle θ\theta with horizontal so that its range and maximum height are equal, then tan⁡θ\tan\theta will be equal to

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  2. Question 2

    8 Apr 2024

    101
    The angle of projection for a projectile to have same horizontal range and maximum height is :

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  3. Question 3

    3 Apr 2025

    86
    A particle is projected with velocity uu so that its horizontal range is three times the maximum height attained by it. The horizontal range of the projectile is given as nu225g\frac{nu^{2}}{25g}, where value of nn is : (Given ' gg ' is the acceleration due to gravity).

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