Rubber strips obey Hooke's law which says that when a rubber strip is extended by a small amount $\delta x$, the force it exerts is found to be $F = k\delta x$ where $k$ is a force constant.
Suppose that you want to shoot a stone of mass $m = 50$g such that it will go to the river which is at a distance of 50 meters. Moreover, it is given that $L = 12$cm, $H = 10$cm, $k = 200$N/m and $g = 9.81 m/s^2$.
How much do you need to extend the strips (i.e. find $x$) in order to make a shot into the river if the stone is fired at an angle of 45° with the horizontal and the length of the unstreched strip is less than $\sqrt{L^2 - H^2}$?