Question

Автомобиль проехал путь из Аистово в Ведёркино за 1час со средней скоростью 45км/ч.первый отрезок пути он преодолел за 15 минут со средней скоростью 20м/с. Определитель среднюю скорость автомобиля на оставшемся пути

Answer 1

Найдем полный путь который проехал автомобиль
S=1*45=45 км
Найдем длину первого участка дороги
15 мин = 0,25 ч
20 м/с = 72 км/ч
S1=72*0,25=18 км
Осталось проехать S2=S-S1=45-18=27 км
Если потратил на первую часть пути 0,25 часа, то на вторую часть 1-0,25=0,75
Средняя скорость на втором участке пути $V_{2}= \frac{S_{2}}{t_{2}} = \frac{27}{0,75}= 36$ км/ч = 10 м/с

Answer 2

$\bf \nu=45 \frac{_K_M}{4}=12.5 \frac{_M}{c}\\ t=1=60_M_\mathcal U_H=3600c\\ t_1=15_M_\mathcal U _H=900c\\ \nu_1=20 \frac{_M}{c}\\ -------\\ \nu_2-?\\ \\ \nu= \frac{S}{t}= \dfrac{S_1+S_2}{t}= \dfrac{\nu_1t_1+\nu_2t_2}{t}\Rightarrow \nu_2= \dfrac{\nu t-\nu_1t_1}{t_2} = \dfrac{\nu t-\nu_1t_1}{t-t_1} \\ \nu_2= \frac{12,5*3600-20*900}{3600-900}=10 \frac{_M}{c}$

Answer 3

Calculation of Average Speed

To determine the average speed of the car on the remaining part of the journey, we need to calculate the distance and time for that segment.

Given information: - Total journey time: 1 hour - Average speed for the entire journey: 45 km/h - Time taken for the first segment: 15 minutes - Average speed for the first segment: 20 m/s

Calculation of Distance and Time for the First Segment

To calculate the distance covered in the first segment, we can use the formula:

Distance = Speed × Time

Converting the time taken for the first segment from minutes to hours: 15 minutes = 15/60 = 0.25 hours

Using the given average speed for the first segment (20 m/s), we can calculate the distance covered:

Distance = 20 m/s × 0.25 hours

Converting the distance from meters to kilometers: 1 kilometer = 1000 meters

Distance = (20 m/s × 0.25 hours) / 1000

Calculation of Distance and Time for the Remaining Segment

To calculate the distance covered in the remaining segment, we can subtract the distance covered in the first segment from the total distance of the journey.

Given that the total journey time is 1 hour and the average speed for the entire journey is 45 km/h, we can calculate the distance covered in the first segment:

Distance of the first segment = Average speed × Time of the first segment

Distance of the first segment = 20 m/s × 0.25 hours

Subtracting the distance of the first segment from the total distance of the journey:

Distance of the remaining segment = Total distance - Distance of the first segment

Distance of the remaining segment = 45 km/h × 1 hour - (20 m/s × 0.25 hours)

Calculation of Average Speed for the Remaining Segment

To calculate the average speed for the remaining segment, we can use the formula:

Average Speed = Distance / Time

Using the calculated distance of the remaining segment and the remaining time (1 hour - 15 minutes), we can calculate the average speed:

Average Speed = (Distance of the remaining segment) / (Remaining time)

Average Speed = (45 km/h × 1 hour - (20 m/s × 0.25 hours)) / (1 hour - 15 minutes)

Converting the remaining time from hours to minutes: 1 hour = 60 minutes

Average Speed = (45 km/h × 1 hour - (20 m/s × 0.25 hours)) / (1 hour - 15 minutes) × 60 minutes

Now, let's calculate the values:

Distance of the first segment = 20 m/s × 0.25 hours = 5 meters

Distance of the remaining segment = 45 km/h × 1 hour - (20 m/s × 0.25 hours) = 45 km - 5 meters

Remaining time = 1 hour - 15 minutes = 1 hour - 0.25 hours = 0.75 hours

Average Speed = (45 km - 5 meters) / (0.75 hours) = 44.995 km/h

Therefore, the average speed of the car on the remaining part of the journey is approximately 44.995 km/h.

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