(Solved): Problem \( 07.044 \) - Projectile analysis of steaming water from a hose to maximize water coverage ...

Problem \( 07.044 \) - Projectile analysis of steaming water from a hose to maximize water coverage As depicted in the figure, a mobile fire hose projects a stream of water onto the roof of a building. At what angle, \( \theta \), and how far from the building, \( x \), should the hose be placed in order to maximize the coverage of the roof, that is, to maximize: \( x_{2}-x \) ? Note that the water velocity leaving the nozzle has a constant value of \( 3 \mathrm{~m} / \mathrm{s} \) regardless of the angle, and the other parameter values are \( h 1=0.06 \) \( \mathrm{m}_{1} \mathrm{~m}_{2}=0.2 \mathrm{~m} \), and \( L=0.12 \mathrm{~m} \). The mobile fire hose has been taken as the origin of the coordinate system. (Round the final answers to four decimal places.) The solutions are as follows: \( \theta=\quad \) (in degrees) \( x_{1}=m \) \( \begin{array}{ll}x_{2}=m & \\ x_{\text {wetted }}= & \mathrm{m}\end{array} \)