What is the shape of the trajectory of a projectile?

Question: What is the shape of the trajectory of a projectile?

The trajectory of a projectile is typically parabolic. This shape is due to the influence of gravity acting on the projectile as it moves forward, causing it to follow a curved path. The motion can be broken down into two components: a constant horizontal velocity and a vertical acceleration due to gravity. The combination of these two motions results in a parabolic trajectory. Mathematically, this trajectory can be described by a quadratic equation in the horizontal coordinate, reflecting the fact that the vertical motion has a quadratic dependence due to the constant acceleration imparted by gravity.

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