Question

Трамвай прошел первые 8700 м со средней скоростью 60 км/ч, а следующие 1600 м со средней скоростью 10 м/с. Определите среднюю скорость трамвая на всём пути.

Answer 1

Дано:
S_{1}=8700 м
V_{1}=60 км/ч
S_{2}= 1600 м
V_{2}=10 м/c 
V_{ср.}-?
СИ:
V_{1}=16,7 м/с

Решение:
V_{ср.}=S_{1}+S_{2}/t_{1}+t_{2}
t_{1}=S_{1}/V_{1}
t_{2}=S_{2}/V_{2}
V_{ср.}=S_{1}+S_{2}/S_{1}/V_{1}+S_{2}/V_{2}

Вычисление:
V_{ср.}=(8700+1600)/(8700/16.7)+(1600/10)=10300/(521+160)=10300/681=15.12 м/с
Ответ: V_{ср.}=15.12 м/с

Answer 2

Calculation of Average Speed

To calculate the average speed of the tram over the entire distance, we can use the formula:

Average Speed = Total Distance / Total Time

Let's calculate the average speed step by step.

1. Calculate the total distance traveled by the tram: - The tram traveled the first 8700 meters with an average speed of 60 km/h. - The tram then traveled the next 1600 meters with an average speed of 10 m/s.

Total Distance = 8700 meters + 1600 meters = 10300 meters

2. Calculate the total time taken by the tram: - To calculate the time taken for the first part of the journey, we can use the formula: Time = Distance / Speed Time1 = 8700 meters / (60 km/h * (1000 meters / 1 km) * (1 hour / 3600 seconds)) = 2.4167 hours

- To calculate the time taken for the second part of the journey, we can use the formula: Time = Distance / Speed Time2 = 1600 meters / 10 m/s = 160 seconds

Total Time = Time1 + Time2 = 2.4167 hours + 160 seconds = 2.4167 hours + 0.0444 hours = 2.4611 hours

3. Calculate the average speed: Average Speed = Total Distance / Total Time Average Speed = 10300 meters / (2.4611 hours * (3600 seconds / 1 hour)) = 1.767 m/s

Therefore, the average speed of the tram over the entire distance is 1.767 m/s.

Please note that the calculations provided are based on the given information and assumptions.