Question (1) (5 points) The trajectory of a ball can be computed with: y=tan(0)x-3 9 * 2v cos² Bo where y the height (m), 6o the initial angle (radians), vo the initial velocity (m/s), g = the gravitational constant = 9.81 m/s², and yo= the initial height (m). Use the golden-section search to determine the maximum height given yo = 1 m, v₁ = 25 m/s, and 6050°. Iterate until the approximate error falls below E, = 1% using initial guesses of x = 0 and x = 60 m. Question (2) (5 points) The volume of liquid V in a hollow horizontal cylinder of radius r and length L is related to the depth of the liquid h by: V = [r² cos-¹ (-)-(r− h)√2rh - h2²] L, Determine h given r =2m, L 5 m, and V = 8 m³ using the modified secant method.