Question

Самолёт пролетел 400 км по прямой,повернул под углом 90градусов и пролетел ещё 300 км . Найти путь и велечину перемещения?

Answer 1

Путь = 400 + 300 = 700 км.
Перемещение = $\sqrt{ 400^{2}+ 300^{2} } = 500$

Answer 2

Problem Analysis

We are given that a plane flew 400 km in a straight line, then turned at a 90-degree angle and flew an additional 300 km. We need to find the total distance traveled and the displacement of the plane.

Solution

To find the total distance traveled, we can add the distances of the two legs of the journey. The plane flew 400 km in a straight line and then flew an additional 300 km after turning at a 90-degree angle. Therefore, the total distance traveled is 700 km.

To find the displacement of the plane, we need to find the straight-line distance between the starting point and the ending point of the journey. Since the plane turned at a 90-degree angle, we can use the Pythagorean theorem to calculate the displacement.

Let's assume the starting point is point A and the ending point is point B. The distance traveled in the horizontal direction is 400 km, and the distance traveled in the vertical direction is 300 km. Using the Pythagorean theorem, we can calculate the displacement as follows:

Displacement = √(400^2 + 300^2) = √(160000 + 90000) = √250000 = 500 km

Therefore, the displacement of the plane is 500 km.

Conclusion

The total distance traveled by the plane is 700 km, and the displacement is 500 km.