Question

от вершины прямого угла по его сторонам начинают одновременно двигаться два тела. Через 4 с расстояние между ними стало равно 52 м. С какой скоростью двигалось второе тело, если известно, что первое прошло за 10 с такое же расстояние, какое второе тело прошло за 24 с. Скорость второго тела​

Answer 1

Ответ: 5м/с

Объяснение:

Answer 2

Problem Analysis

We have two bodies moving simultaneously from the vertex of a right angle along its sides. After 4 seconds, the distance between them becomes 52 meters. We are given that the first body covered the same distance in 10 seconds, and we need to find the speed of the second body, given that it covered the same distance in 24 seconds.

Solution

Let's assume that the speed of the first body is v1 and the speed of the second body is v2.

We know that the distance covered by the first body in 10 seconds is equal to the distance covered by the second body in 24 seconds. Therefore, we can set up the following equation:

v1 * 10 = v2 * 24

We are also given that after 4 seconds, the distance between the two bodies is 52 meters. This means that the first body covered a distance of 52 meters in 4 seconds. Therefore, we can set up another equation:

v1 * 4 = 52

Now we can solve these two equations simultaneously to find the value of v2.

Solving the Equations

Let's solve the second equation for v1:

v1 = 52 / 4 = 13

Substituting this value of v1 into the first equation:

13 * 10 = v2 * 24

Simplifying:

130 = v2 * 24

Dividing both sides by 24:

v2 = 130 / 24 = 5.4167 (rounded to four decimal places)

Therefore, the speed of the second body is approximately 5.4167 m/s.

Answer

The speed of the second body is approximately 5.4167 m/s.