The range for the trajectory of a projectile can be found by completing this equation: d = ([v^2] * sin(2x))/g. The variables "d" represents the range, "v" represents the initial velocity, "x" equals the angle at which the projectile was launched and "g" is the gravitational acceleration.
The maximum height that a projectile can reach along its trajectory is given by the formula h(max) = 1/2(v^2)(g). The position of a projectile along its trajectory can be determined at any given point with the equation x = vt for the horizontal distance, and vt - 1/2(v^2)(g) for the vertical distance. In those equations, "t" equals the time since launch of the projectile.