Question

20 БАЛЛОВ!!! Небольшой камушек уронили без начальной скорости с высоты 40,5 м над поверхностью неизвестной планеты без атмосферы. За первую секунду падения он прошёл путь 2 м. Какой путь он пройдёт за четвёртую секунду падения? Ответ дайте в метрах, округлив до целого числа. Сколько времени продлится его падение? Ответ дайте в секундах, округлив до десятых.

Answer 1

Ответ:

алджжодррпгмихшизшмзгмзгмзгмомззоизоом

Answer 2

Ответ:

вьвьвлвдвдызчдчдчщчдвбчслсвлвщвдв

Answer 3

Problem Analysis

We have a small object that is dropped from a height of 40.5 m above the surface of an unknown planet with no atmosphere. We are given that the object traveled a distance of 2 m in the first second of its fall. We need to determine the distance the object will travel in the fourth second of its fall, as well as the total time it will take for the object to fall.

Solution

To solve this problem, we can use the equations of motion for free fall. The equation for the distance traveled by an object in free fall is given by:

d = ut + (1/2)gt^2

Where: - d is the distance traveled - u is the initial velocity (which is 0 in this case) - g is the acceleration due to gravity - t is the time

In this case, since the object is dropped without any initial velocity, the equation simplifies to:

d = (1/2)gt^2

We can use this equation to find the distance traveled by the object in the fourth second of its fall.

To find the total time it will take for the object to fall, we can use the equation:

t = sqrt(2d/g)

Where: - t is the time - d is the distance traveled - g is the acceleration due to gravity

Let's calculate the distance traveled in the fourth second and the total time it will take for the object to fall.

Calculation

Given: - Initial height (h) = 40.5 m - Distance traveled in the first second (d1) = 2 m - Acceleration due to gravity (g) = 9.8 m/s^2 (approximate value on Earth)

Using the equation d = (1/2)gt^2, we can find the distance traveled in the fourth second (d4):

d4 = (1/2)g(4^2 - 3^2)

Simplifying the equation:

d4 = (1/2)g(16 - 9)

d4 = (1/2)g(7)

Now, let's calculate the value of d4.

Calculation: Distance Traveled in the Fourth Second

Using the equation d4 = (1/2)g(7), and substituting the value of g:

d4 = (1/2)(9.8)(7)

d4 = 34.3 m

Therefore, the object will travel a distance of 34.3 m in the fourth second of its fall.

Calculation: Total Time of Fall

Using the equation t = sqrt(2d/g), and substituting the value of d (initial height):

t = sqrt(2 * 40.5 / 9.8)

t ≈ 2.02 seconds

Therefore, the object will take approximately 2.02 seconds to fall.

Answer

The object will travel a distance of 34.3 meters in the fourth second of its fall. The total time it will take for the object to fall is approximately 2.02 seconds.