(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Some students at Rice University have built their first

gazilcher – a large slingshot (operated by five people

at once, and capable of launching objects well over 100

meters in distance) constructed from surgical tubing

and a cafeteria silverware basket. They wish to launch

a water balloon through a window on the first story of

a dormitory. The window has a vertical height h relative

to the ground where the gazilcher is activated. In

order to avoid getting caught, the culprits wish to be

as far away as possible. Furthermore, they always aim

their gazilcher for its maximum range, R, which they

have exactly measured. Show that the maximum horizontal

distance between the gazilcher and the target

window, neglecting air resistance, is given by

2. Relevant equations

d= R/2(1+ √(1-4h/R))

3. The attempt at a solution

i used the angle 90 because it was the maximum range/height regarding that they needed maximum length. I used the equation for Range to get the Height that they had. I seem to not understand how they got the 1-4h/r within a radical.

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# Homework Help: Maximum Horizontal Distance

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