Конькобежец, пересёк прямоугольную ледовую площадку. по диагонали АВ, а пешеход прошёл из точки А в точку Б по краю площадки. размеры площадки 60 × 80 м. определите модуль перемещения конькобежца и пешехода, и пути пройденные ими.

To determine the displacement of the skater and the pedestrian, as well as the paths they took, we will use the Pythagorean theorem. Let's calculate:

The length of the diagonal of the rectangular ice rink can be found using the Pythagorean theorem:

Diagonal (AB) = √(60² + 80²) = √(3600 + 6400) = √10000 = 100 meters

Now, let's calculate the displacement of the skater and pedestrian:

For the skater: Displacement_skater = Diagonal (AB) = 100 meters

For the pedestrian: The pedestrian walked from point A to point B along the edge of the ice rink. Since the length of the rink is 60 meters, the displacement of the pedestrian is 60 meters.

As for the paths they took, the skater crossed the ice rink diagonally from corner A to corner B, covering a distance of 100 meters. The pedestrian walked along the edge of the ice rink, covering a distance of 60 meters.