physics - Maximum range of a projectile (launched from an elevation) - Mathematics Stack Exchange

If a projectile is launched at a speed $u$ from a height $H$ above the horizontal axis, $g$ is the acceleration due to gravity, and air resistance is ignored, its trajectory is $$y=H+x \tan θ-x^2\f

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If a projectile is fired from the top of a building, at which angle will it have a maximum range? Assume the height of the building to be 'h' and the initial

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homework and exercises - Optimum launch angle for a projectile launched from a height above the ground - Physics Stack Exchange