Final answer:
The formula for projectile motion involves analyzing the motion in the horizontal and vertical directions using kinematic equations. The trajectory of a projectile is parabolic and can be described by the equation y = ax + bx^2. Projectile motion involves independent motion along horizontal and vertical axes.
Step-by-step explanation:
The formula for projectile motion can be analyzed by breaking the motion into horizontal and vertical components. In the horizontal direction, the velocity remains constant, while in the vertical direction, the motion is influenced by gravity. The equation for vertical motion is given by y = Voyt - (1/2)gt^2, where y represents the vertical displacement, Voy is the initial vertical velocity, t is the time, and g is the acceleration due to gravity.
By eliminating the time variable in the kinematic equations, we can find the trajectory of a projectile, which is a parabolic shape. The equation of the trajectory is typically in the form y = ax + bx^2, where a and b are constants. The initial speed and angle of projection determine the values of a and b.
The important point to remember is that projectile motion involves independent motion along horizontal and vertical axes, with the trajectory following a parabolic path.