Question

Трамвай прошел первые 300 м со скоростью 2 м\с а следующие 500 м за 50 секунд .Определите среднюю скорость трамвая на всем пути

Answer 1

Дано:

S₁ = 300 м

υ₁ = 2 м/сек

S₂ = 500 м

t₂ = 50 сек

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Найти:

υ(ср.) - ?

Решение:

1) Для начала мы запишем формулу средней скорости трамвая, именно по такой формуле мы найдем среднюю скорость трамвая на всем пути:

υ(ср.) = S(общ.)/t(общ.) = (S₁+S₂)/(t₁+t₂) ⇒ υ(ср.) = (S₁+S₂)/(t₁+t₂) - средняя скорость трамвая (1)

2) Но нам не известно время пройденное за 300 м, воспользуемся формулой для нахождения времени трамвая за 300 м, именно по такой формуле мы найдем время трамвая пройденного за 300 м:

t₁ = S₁/υ₁ - время трамвая пройденного за 300 м (2)

t₁ = 300 м / 2 м/сек = 150 сек

3) Теперь мы находим среднюю скорость трамвая на всем пути пользуясь формулой из (1):

υ(ср.) = (300 м + 500 м) / (150 сек + 50 сек) = 800 м / 200 сек = 4 м/сек

Ответ: υ(ср.) = 4 м/сек

Answer 2

Calculation of Average Speed

To calculate the average speed of the tram over the entire distance, we need to determine the total time taken and the total distance covered.

Given: - The tram traveled the first 300 meters with a speed of 2 m/s. - The tram traveled the next 500 meters in 50 seconds.

To find the average speed, we can use the formula:

Average Speed = Total Distance / Total Time

Let's calculate the total distance and total time:

1. Total Distance: - The tram traveled the first 300 meters. - The tram traveled the next 500 meters. - Therefore, the total distance covered is 300 meters + 500 meters = 800 meters.

2. Total Time: - The tram traveled the first 300 meters with a speed of 2 m/s. - Therefore, the time taken to cover the first 300 meters is 300 meters / 2 m/s = 150 seconds. - The tram traveled the next 500 meters in 50 seconds. - Therefore, the time taken to cover the next 500 meters is 50 seconds.

- Therefore, the total time taken is 150 seconds + 50 seconds = 200 seconds.

Now, let's calculate the average speed:

Average Speed = Total Distance / Total Time

Average Speed = 800 meters / 200 seconds

Average Speed = 4 m/s

Therefore, the average speed of the tram over the entire distance is 4 m/s.

Please note that the sources provided do not contain specific information related to this calculation. The calculation is based on the given information and the principles of average speed calculation.