Question

Вагон, двигаясь под уклон с сортировочной горки, проходит 310 м за 20 с. Скатившись с горки и продолжая двигаться, он проходит до полной остановки еще 100 м за 1,6 мин. Определите среднюю скорость вагона за все время движения.

Answer 1

Средняя скорость движения -- это весь пройденный путь, делённый на всё время движения. 
Переведём минуты в секунды: 1,6 мин=96 сек.
Теперь посчитаем среднюю скорость: $v= \frac{310+100}{20+96}= \frac{410}{116}=3,53$ м/с.
Ответ: 3,53 м/с. 
Ответ округлял до сотых.

Answer 2

Calculation of Average Speed

To calculate the average speed of the wagon during its entire journey, we need to determine the total distance traveled and the total time taken.

1. Distance traveled: - The wagon initially travels 310 meters in 20 seconds while moving down the slope of the sorting hill. - After rolling down the hill, it continues to move and covers an additional 100 meters until it comes to a complete stop. - Therefore, the total distance traveled by the wagon is 310 meters + 100 meters = 410 meters.

2. Time taken: - The wagon takes 20 seconds to cover the initial 310 meters while moving down the slope. - After that, it takes an additional 1.6 minutes to cover the remaining 100 meters until it stops. - Since 1 minute is equal to 60 seconds, 1.6 minutes is equal to 1.6 * 60 = 96 seconds. - Therefore, the total time taken by the wagon is 20 seconds + 96 seconds = 116 seconds.

Now, we can calculate the average speed of the wagon using the formula:

Average Speed = Total Distance / Total Time

Substituting the values we obtained:

Average Speed = 410 meters / 116 seconds

Calculating the average speed:

Average Speed ≈ 3.534 meters per second

Therefore, the average speed of the wagon during its entire journey is approximately 3.534 meters per second.

Please note that the above calculation assumes a constant speed throughout the journey and does not take into account any acceleration or deceleration.