Relating schematic equation to find total distance

[13rainboy]

I need help with this, or for that fact i need to know if this is even possible. I'm using the equation of change in x equals one half at squared plus v not t plus initial height. Now using this, we shot water balloons. we found all the variables necessary to complete the equation. the only problem, is that now we want to find a graph of the equation where we can find the total distance traveled by the water balloon. is it possible to find this since we have a distance relating to y and a distance relating to x in the same equation? any help would be great!

 

[artikk]

delta x and h are both variables to y, really, not x. The at^2 equation describes the displacement of the object in the vertical direction, not the the horizontal direction. If you you were to graph this equation it would show the distance traveled by the object in the y-direction. To find the distance traveled in the x-direction, you just need the time traveled by the object as well as it's initial velocity in the horizontal direction.