A proposed equation for calculating the total horizontal distance in projectiles of varying launch and landing levels

Abstract

The projectile draws a path for the flight of the tool, a horizontal distance can be calculated according to the general law, but only if the two points of the launch and fall of the tool are equal, otherwise we need an equation to be added to the general law to calculate the real distance that was generated due to the difference between the launch and fall points. There are several equations to calculate this, but they are complex and can be simplified, the proposed equation was tested on large samples for three different throwing events from the track and field games, (javelin, shotput, disc). The proposed equation was based on the basics of mathematics and geometry. The equation was tested in terms of the advantage of deleting the height different, if the height is zero, the proposed equation is suitable even for projectiles with equal levels, and the credibility of the proposed equation with the previous equation was tested statistically, and there were no differences between the two equations (p>0.05). and due to the relative ease of access of the proposed equation to very similar results, researcher suggests applying the proposed equation.