Question

Рота солдат прошла на север 4 км, затем солдаты повернули на восток и прошли еще 3 км. Найдите путь и перемещение солдат за все время движения. Нарисуйте в тетради траекторию их движения.

Answer 1

Путь 4+3 =7 км
угол поворота 90 град
по Пифагору  
перемещение/гипотенуза = √ 4^2 +3^3 = 5 км

Answer 2

Problem Analysis

The soldiers first moved north for 4 km and then turned east and moved for another 3 km. We need to find the total distance traveled by the soldiers and draw the trajectory of their movement.

Solution

To find the total distance traveled by the soldiers, we can use the Pythagorean theorem. The distance traveled is equal to the hypotenuse of a right triangle, with the northward distance as one side and the eastward distance as the other side.

Let's calculate the total distance traveled:

Northward distance: 4 km Eastward distance: 3 km

Using the Pythagorean theorem, we can find the total distance traveled:

Total distance traveled = √(Northward distance^2 + Eastward distance^2)

Total distance traveled = √(4^2 + 3^2)

Total distance traveled = √(16 + 9)

Total distance traveled = √25

Total distance traveled = 5 km

So, the soldiers traveled a total distance of 5 km.

Now, let's draw the trajectory of their movement in a notebook:

1. Start by drawing a point to represent the starting position of the soldiers. 2. From the starting point, draw a line segment of 4 cm in the upward direction to represent the northward distance. 3. From the end of the first line segment, draw another line segment of 3 cm in the rightward direction to represent the eastward distance. 4. Connect the starting point to the end of the second line segment to complete the trajectory.

The trajectory should resemble a right-angled triangle with sides measuring 4 cm and 3 cm.

I hope this helps! Let me know if you have any further questions.