Question

Велосипедист двигаясь равномерно в течение 20 мин, проехал 7 км. Затем в течение получаса он чинил велосипед. Следущие 10 мин велосипедист двигался со скоростью 24 км/ч. Постройте график зависимости пути от времени для движения велосипедиста и найдите среднюю скорость движения.

Answer 1

График прилагается
средняя скорость
Vcp = S/t =11км/1час = 11 км/ч

Answer 2

Vср=S/t (Sобщ, tобщ).
V=11км/1ч=11км/ч.
Ответ: Vср=11км/ч.

Answer 3

Problem Analysis

We are given the following information: - The cyclist travels uniformly for 20 minutes and covers a distance of 7 km. - The cyclist then spends 30 minutes repairing the bicycle. - After the repair, the cyclist travels for 10 minutes at a speed of 24 km/h.

We need to plot a graph showing the distance traveled by the cyclist over time and calculate the average speed.

Graph of Distance vs. Time

To plot the graph, we need to determine the time intervals and corresponding distances traveled by the cyclist.

1. The cyclist travels uniformly for 20 minutes and covers a distance of 7 km. This means the cyclist's speed during this time is 7 km / 20 min. 2. After the repair, the cyclist travels for 10 minutes at a speed of 24 km/h. This means the distance traveled during this time is 24 km/h * (10 min / 60 min).

Let's calculate the distances traveled during each time interval:

1. Uniform motion for 20 minutes: - Time interval: 0 min to 20 min - Distance traveled: 7 km

2. Repair time of 30 minutes: - Time interval: 20 min to 50 min - Distance traveled: 0 km (stationary)

3. Traveling at 24 km/h for 10 minutes: - Time interval: 50 min to 60 min - Distance traveled: 24 km/h * (10 min / 60 min)

Now, let's plot the graph of distance vs. time using the calculated distances for each time interval.

Calculation of Average Speed

To calculate the average speed, we need to divide the total distance traveled by the total time taken.

The total distance traveled is the sum of the distances traveled during each time interval: - Distance during uniform motion: 7 km - Distance during repair time: 0 km - Distance during traveling at 24 km/h: 24 km/h * (10 min / 60 min)

The total time taken is the sum of the time intervals: - Time during uniform motion: 20 min - Time during repair time: 30 min - Time during traveling at 24 km/h: 10 min

Now, let's calculate the average speed by dividing the total distance by the total time.

Solution

The graph of distance vs. time for the cyclist's movement can be represented as follows:

| Time (min) | Distance (km) | |------------|---------------| | 0 | 0 | | 20 | 7 | | 50 | 7 | | 60 | 7 + (24 * 10 / 60) |

The average speed can be calculated as follows:

Average Speed = Total Distance / Total Time

Total Distance = 7 + (24 * 10 / 60) km Total Time = 20 + 30 + 10 min

Average Speed = (7 + (24 * 10 / 60)) km / (20 + 30 + 10) min

Now, let's calculate the average speed.