The trajectory of a ball can be computed with Where y the height (m), 0 the initial angle (radians), 0 the initial velocity (m s), g the gravitational constant 9 81 m s 2 , and y 0 the initial height (m) Use the golden section search to determine the maximum height given y 0 1 m, 0 25 m s and 0 50 ...

The first iteration of the goldensection search can be implemented as Because f x 1 f x 2 the maximu ...

The trajectory of a ball can be computed with Where y = the height (m), ? 0

Question:

The trajectory of a ball can be computed with

Where y = the height (m), ?₀ = the initial angle (radians), ?₀ = the initial velocity (m/s), g = the gravitational constant = 9.81 m/s², and y₀ = the initial height (m). Use the golden-section search to determine the maximum height given y₀ = 1 m, ?₀ = 25 m/s and ?₀ = 50^o. Iterate until the approximate error falls below ?_s = 1% using initial guesses of _xl = 0 and x_u = 60 m.