Savchenko Problem 1.3.13

Physics · mechanics

Problem

The projectile flew out of the gun and hit a point with x coordinates horizontally and y coordinates vertically. Initial velocity of the projectile v. Find: a) the tangent of the angle formed by the gun barrel with the horizon; b) the boundary of the area of possible hit of the projectile; c) the lowest initial velocity of the projectile at which it can hit the point with coordinates x, y. Note. For the solution, use the trigonometric identity 1cos⁡2φ\frac{1}{\cos^2\varphi} = tg2φ\varphi+1.

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