Question

Скорость тела за 5 секунд увеличилась с 10 м/с до 60м/с. Напишите формулу( с подробным решением) зависимости скорости от времени и постройте график этой зависимости

Answer 1

И так, исходя из формулы ускорения a=V-V0/t, находим, что а=60-10/5=10 м/c^2

Answer 2

Formula for the Relationship between Velocity and Time

To determine the formula for the relationship between velocity and time, we can use the equation:

v = s/t,

where: - v is the velocity (speed) of the object, - s is the distance traveled by the object, and - t is the time taken to travel that distance.

In this case, the initial velocity (v1) is 10 m/s, the final velocity (v2) is 60 m/s, and the time taken (t) is 5 seconds.

To find the distance traveled (s), we can rearrange the formula as follows:

s = v * t.

Substituting the given values, we have:

s = 10 m/s * 5 s = 50 meters.

Therefore, the distance traveled by the object is 50 meters.

Now, let's plot a graph to visualize the relationship between velocity and time.

Graph of Velocity vs. Time

To create the graph, we'll plot the velocity on the y-axis and the time on the x-axis.

The initial velocity (v1) is 10 m/s, the final velocity (v2) is 60 m/s, and the time taken (t) is 5 seconds.

Here's the graph:

import matplotlib.pyplot as plt

# Data points
time = [0, 5]  # x-axis values
velocity = [10, 60]  # y-axis values

# Plotting the graph
plt.plot(time, velocity, marker='o')

# Adding labels and title
plt.xlabel('Time (s)')
plt.ylabel('Velocity (m/s)')
plt.title('Velocity vs. Time')

# Displaying the graph
plt.show()

The graph will show a linear increase in velocity over time, starting from 10 m/s at time 0 and reaching 60 m/s at time 5 seconds.

Please note that the graph is a visual representation and may not be to scale.