Give a real-world example that requires sorting or a real-world example that requires computing a convex hull.

Part 1 Sorting

A real world example that requires a sorting problem is a well known travel route finding problem where a person needs to travel from point X → (to)Y using shortest path covered or either longest journey covered considered that they are travelers and want to make a long road trip across country.

travel from one point to another point by either shortest path or by a long path to travel more

Part 2 Convex hull

In my knowledge in simple language convex hull is a shape formed by rubber band around a a set of nails hammered at different locations and can also be a real world example of convex hull. OR can be a computer vision edge detection problem. Or 3D object mapping .

rubber band around a a set of nails