Question

1. Скорость некоторого тела равна 4 м/мин. Определите путь этого тела за 5 часов? Постройте график зависимости пути от времени.

Answer 1

Ответ:

1200 м

5 часов = 300 минут

4*300=1200 м

Answer 2

Problem Statement

We are given that the speed of an object is 4 m/min. We need to determine the distance traveled by this object in 5 hours and plot a graph showing the relationship between distance and time.

Solution

To find the distance traveled by the object in 5 hours, we can use the formula:

Distance = Speed × Time

Given that the speed of the object is 4 m/min and the time is 5 hours, we need to convert the time from hours to minutes before calculating the distance.

Converting 5 hours to minutes: 5 hours × 60 minutes/hour = 300 minutes

Now we can calculate the distance: Distance = 4 m/min × 300 min = 1200 meters

Therefore, the distance traveled by the object in 5 hours is 1200 meters.

Graph of Distance vs. Time

To plot the graph showing the relationship between distance and time, we can use the calculated distance values for different time intervals.

Let's consider the time intervals from 0 to 5 hours, with an interval of 1 hour. We can calculate the corresponding distances for each time interval using the formula mentioned earlier.

| Time (hours) | Distance (meters) | |--------------|-------------------| | 0 | 0 | | 1 | 4 × 60 = 240 | | 2 | 4 × 60 × 2 = 480 | | 3 | 4 × 60 × 3 = 720 | | 4 | 4 × 60 × 4 = 960 | | 5 | 4 × 60 × 5 = 1200 |

Now, let's plot the graph using these values:

import matplotlib.pyplot as plt

time = [0, 1, 2, 3, 4, 5]
distance = [0, 240, 480, 720, 960, 1200]

plt.plot(time, distance)
plt.xlabel('Time (hours)')
plt.ylabel('Distance (meters)')
plt.title('Distance vs. Time')
plt.grid(True)
plt.show()

The graph will show a linear relationship between distance and time, with the distance increasing at a constant rate of 4 meters per minute.


Please note that the graph is a visual representation of the relationship between distance and time, and it may not be perfectly accurate due to the limited data points provided.