Question

Туристы прошли 6 км на север, затем повернулиси и прошли 3 км на восток, а затем 2 км на юг. определите путь и модуль, перемешения туристов.(11км; 5км)

Answer 1

Путь - понятно:
L = 6+3+2 = 11 км.

А вот, чтобы найти перемещение, сделаем чертеж:
По теореме Пифагора:
S = √(3²+4²) = √25 = 5 км

Answer 2

Calculating the Displacement of the Tourists

To determine the displacement of the tourists, we can use the Pythagorean theorem to calculate the straight-line distance from the starting point to the final position.

1. Calculating the Displacement: - The tourists walked 6 km north, then 3 km east, and finally 2 km south. - Using the Pythagorean theorem, the displacement can be calculated as follows: - Displacement = √((6 km)^2 + (3 km)^2) - Displacement = √(36 km^2 + 9 km^2) - Displacement = √45 km^2 - Displacement ≈ 6.71 km

2. Determining the Direction: - To determine the direction, we can use trigonometric functions to find the angle of the displacement with respect to the initial direction.

Conclusion

The displacement of the tourists is approximately 6.71 km in a direction that can be determined using trigonometric functions.