Question

Why does a bullet fired from a gun in horizontal direction take the parabolic path?

Answer 1

According to the equation of trajectory
$y = x \tan( \alpha ) - \frac{ g {x}^{2} }{2 {u}^{2} { \cos^{2}( \alpha ) } }$
The vertical displacement of an object fired horizontally is directly proportional to the square of the horizontal distance it travels throughout its journey.
The square of the distance means, when we plot the displacement of the object on a graph, it would form a parabola.