Question

Лодка проплыла первую половину пути с постоянной скоростью, модуль которой υ = 0,5 м/с, а вторую половину пути — с υ = 2 м/с. Определите среднюю путевую скорость лодки.

Answer 1

Средняя путевая скорость находится как отношение всего пройденного пути ко всему затраченному времени.

Решение прилагается. 

Answer 2

Calculation of Average Speed

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

Let's assume that the total distance traveled by the boat is d.

The boat traveled the first half of the distance with a constant speed of υ = 0.5 m/s and the second half of the distance with a constant speed of υ = 2 m/s.

The time taken to travel the first half of the distance can be calculated using the formula:

time taken = distance / speed

For the first half of the distance, the time taken is:

time taken for the first half = d/2 / 0.5 = d / 1 m/s = d seconds

Similarly, the time taken to travel the second half of the distance is:

time taken for the second half = d/2 / 2 = d / 4 m/s = d/4 seconds

The total time taken to travel the entire distance is the sum of the time taken for the first half and the time taken for the second half:

total time taken = time taken for the first half + time taken for the second half = d + d/4 = 5d/4 seconds

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

average speed = total distance / total time taken

The total distance traveled is d and the total time taken is 5d/4. Therefore, the average speed of the boat is:

average speed = d / (5d/4) = 4/5 m/s

So, the average speed of the boat is 0.8 m/s.

Please note that the provided search results did not provide any relevant information to directly answer this question. The calculation is based on the given information and mathematical principles.