For this homework assignment, use the golden section search function you developed in Lab #7 to solve the problem below. This homework is due Monday, 6 Apr.

If a water hose, with initial water velocity v, is aimed at an angle α with respect to the ground to splash a flower at height h, then the horizontal distance from nozzle to flower satisfies the quadratic equation:

(g/(2v² cos² α)) x² - (tan α) x + h = 0,

where g = 9.81 m/s².

1. What is the physical interpretation of the two roots of the equation above?
2. If v = 20 m/s and h = 13.5 m, use your golden section search function to find the maximum distance x at which the flower can still be splashed and the angle α required for that maximum.