Question

40 баллов Из одного населенного пункта в другой мотоциклист двигался со скоростью v1 = 60 км/час Обратный путь он проехал со скоростью v2 = 15 м/с Определите среднюю скорость мотоциклиста за все время движения

Answer 1

Ответ:

Vс=(V+V)/2

Vc=( 60+54)/2 = 57

Answer 2

Ответ:

Средняя скорость vср ≈ 28,42 км/ч.

Объяснение:

v₁ = 60 км/ч

v₂ = 15 м/с = 54 км/ч

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v ср - ?

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Пусть s - расстояние между пунктами

t₁ = s : v₁ = s : 60 - время, затраченное на прямой путь

t₂ = s : v₂ = s : 54 - время, затраченное на обратный путь

t = t₁ + t₂ = s : 60 + s : 54 - всё время движения

Средняя скорость

v ср = s : t

$v_{cp} = \dfrac{s}{\dfrac{s}{60}+\dfrac{s}{54} } =\dfrac{54\cdot 60}{54 + 60} \approx 28.42 ~(km/h)$

Answer 3

Calculation of Average Speed

To calculate the average speed of the motorcyclist, we need to find the total distance traveled and the total time taken.

Given: - Speed of the motorcyclist from one location to another (v1) = 60 km/h - Speed of the motorcyclist on the return journey (v2) = 15 m/s

To find the average speed, we need to convert the speeds to a common unit. Let's convert the speed from the return journey to km/h:

1 m/s = 3.6 km/h

Converting v2 to km/h: v2 = 15 m/s * 3.6 km/h = 54 km/h

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

Average Speed = Total Distance / Total Time

Since the distance traveled in the forward and return journeys is the same, we can consider the total distance as twice the distance traveled in one direction.

Let's assume the distance traveled in one direction is 'd' km.

Total Distance = 2d

To find the total time taken, we need to calculate the time taken for each leg of the journey.

Time taken for the forward journey = Distance / Speed = d / v1

Time taken for the return journey = Distance / Speed = d / v2

Total Time = Time taken for the forward journey + Time taken for the return journey

Now, we can substitute the values and calculate the average speed.

Calculation Steps:

1. Convert the speed of the return journey from m/s to km/h: - v2 = 15 m/s * 3.6 km/h = 54 km/h

2. Calculate the total distance: - Total Distance = 2d

3. Calculate the time taken for the forward journey: - Time taken for the forward journey = Distance / Speed = d / v1

4. Calculate the time taken for the return journey: - Time taken for the return journey = Distance / Speed = d / v2

5. Calculate the total time taken: - Total Time = Time taken for the forward journey + Time taken for the return journey

6. Calculate the average speed: - Average Speed = Total Distance / Total Time

Let's perform the calculations:

Solution:

1. Converting the speed of the return journey from m/s to km/h: - v2 = 54 km/h

2. Calculating the total distance: - Total Distance = 2d

3. Calculating the time taken for the forward journey: - Time taken for the forward journey = d / v1

4. Calculating the time taken for the return journey: - Time taken for the return journey = d / v2

5. Calculating the total time taken: - Total Time = Time taken for the forward journey + Time taken for the return journey

6. Calculating the average speed: - Average Speed = Total Distance / Total Time

Please provide the value of 'd' (the distance traveled in one direction) to proceed with the calculations.