Final answer:
In physics, the optimum launch angle for a projectile to achieve maximum range is 45 degrees. For Earth orbits, advancements have placed objects in orbits such as geosynchronous at approximately 36,000 km. Maximum path distance is given by the longest total distance covered.
Step-by-step explanation:
The question addresses the topic of projectile motion, specifically the maximum range and the most effective angle for achieving it. In physics, the optimum angle to launch a projectile for maximum range on a flat surface, assuming no air resistance, is 45°. This means that the range of a projectile would be equal to zero at launch angles of either 0° or 90°, as there would be no horizontal displacement in both cases. For the Earth orbits question, over the last 45 years, advancements in space exploration have seen objects placed in orbits at various distances, with a geosynchronous orbit at approximately 36,000 km from the Earth's surface. Finally, the maximum distance covered by paths is determined by comparing the absolute distances traveled without consideration for the direction, hence Path C would have the maximum distance if it is the longest path in meters.