Question

Помогите пожалуйста решить задачу по физике. Человек проходит по аллее парка 20 метров, до пересечения с другой аллей, потом он поворачивает под углом 90 градусов на эту аллею, и проходит еще 15 метров.Найти перемещение и пройденный человеком путь.

Answer 1

Перемещение находим по теореме Пифагора:
S = √(20² + 15²) = 25 м

Пройденный путь:
L = 20+15=35 м

Answer 2

Problem Statement

A person walks along an alley in a park for 20 meters, then turns at a 90-degree angle onto another alley and walks for an additional 15 meters. We need to find the displacement and the total distance traveled by the person.

Solution

To solve this problem, we can break it down into two parts: the displacement and the total distance traveled.

Displacement is a vector quantity that represents the change in position of an object. It is the straight-line distance between the initial and final positions, regardless of the path taken.

In this case, the person walks 20 meters along the first alley and then turns at a 90-degree angle onto the second alley and walks for 15 meters. The displacement can be found using the Pythagorean theorem, as the person forms a right-angled triangle.

Let's calculate the displacement:

Step 1: Calculate the horizontal displacement (x-axis) using the first alley's length of 20 meters: - Horizontal displacement = 20 meters

Step 2: Calculate the vertical displacement (y-axis) using the second alley's length of 15 meters: - Vertical displacement = 15 meters

Step 3: Use the Pythagorean theorem to find the displacement: - Displacement = √(horizontal displacement^2 + vertical displacement^2) - Displacement = √(20^2 + 15^2) - Displacement = √(400 + 225) - Displacement = √625 - Displacement = 25 meters

Therefore, the displacement of the person is 25 meters.

Total Distance Traveled is the sum of all the individual distances covered during the journey. In this case, the person walks 20 meters along the first alley and then turns at a 90-degree angle onto the second alley and walks for 15 meters.

Let's calculate the total distance traveled:

Step 1: Add the length of the first alley (20 meters) and the length of the second alley (15 meters): - Total distance traveled = 20 meters + 15 meters - Total distance traveled = 35 meters

Therefore, the total distance traveled by the person is 35 meters.

To summarize: - The displacement of the person is 25 meters. - The total distance traveled by the person is 35 meters.

Please let me know if you need any further assistance!