Question

Постройте графикзависимости расстояния, которое проехал поезд, от времени движения,если известно, что первые 15 минут поезд ехал со скоростью 40км/ч, следующие 4 часа со скоростью 80 км/ч,а последние 30 минут со скоростью 90 км/ч

Answer 1

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Answer 2

Graph of Distance Traveled by Train over Time

To plot the graph of the distance traveled by the train over time, we need to consider the different speeds at which the train traveled during different time intervals.

Given the following information: - The train traveled at a speed of 40 km/h for the first 15 minutes. - The train then traveled at a speed of 80 km/h for the next 4 hours. - Finally, the train traveled at a speed of 90 km/h for the last 30 minutes.

Let's break down the problem into different time intervals and calculate the distance traveled during each interval.

1. First 15 minutes: - Speed: 40 km/h - Time: 15 minutes = 0.25 hours - Distance = Speed * Time = 40 km/h * 0.25 hours = 10 km

2. Next 4 hours: - Speed: 80 km/h - Time: 4 hours - Distance = Speed * Time = 80 km/h * 4 hours = 320 km

3. Last 30 minutes: - Speed: 90 km/h - Time: 30 minutes = 0.5 hours - Distance = Speed * Time = 90 km/h * 0.5 hours = 45 km

Now, let's plot the graph using the calculated distances for each time interval:

| Time (hours) | Distance Traveled (km) | |--------------|-----------------------| | 0 | 0 | | 0.25 | 10 | | 4.25 | 330 | | 4.5 | 375 |

To visualize the graph, we can plot the time on the x-axis and the distance traveled on the y-axis.

import matplotlib.pyplot as plt

time = [0, 0.25, 4.25, 4.5]
distance = [0, 10, 330, 375]

plt.plot(time, distance)
plt.xlabel("Time (hours)")
plt.ylabel("Distance Traveled (km)")
plt.title("Graph of Distance Traveled by Train over Time")
plt.show()

The graph will show a linear increase in distance during the first 15 minutes, a constant increase during the next 4 hours, and a slight increase during the last 30 minutes.

Please note that the values used in this example are for illustration purposes only and may not reflect actual distances or speeds.