
Прохожий гонится за своей шляпкой, которую ветер несёт со скоростью 4 м/с. Как изменяется
расстояние между прохожим и шляпкой до момента встречи, если он бежит со скоростью 5 м/с? найди скорость сближения.

Ответы на вопрос




Calculation of Distance and Convergence Speed
To calculate the change in distance between the pedestrian and the hat, we need to consider their respective speeds. The pedestrian is running at a speed of 5 m/s, while the wind is carrying the hat at a speed of 4 m/s.
Let's assume that the pedestrian and the hat start at the same position. As time passes, the pedestrian will cover a greater distance than the hat due to their speed difference. The change in distance between them can be calculated by multiplying the time elapsed by the relative speed between them.
The relative speed between the pedestrian and the hat is the difference between their speeds: 5 m/s - 4 m/s = 1 m/s.
To find the time it takes for the pedestrian to catch up to the hat, we can divide the initial distance between them by the relative speed. However, the initial distance is not provided in the question. Therefore, we cannot determine the exact time it takes for the pedestrian to catch up to the hat.
However, we can still calculate the speed at which they are getting closer, known as the convergence speed. The convergence speed is equal to the relative speed between them, which is 1 m/s.
Therefore, the speed at which the pedestrian and the hat are getting closer is 1 m/s.
Please note that without the initial distance between the pedestrian and the hat, we cannot determine the exact change in distance between them or the time it takes for the pedestrian to catch up to the hat.


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