Question

Срочно!1! Тело брошено вертикально вниз с начальной скоростью 10 м/с. Определите скорость и перемещение тела через 4 секунд после начала движения.

Answer 1

Ответ: 50м/с; 120м

Объяснение:

Дано:

Vo=10м/c

t=4c

=========

V-?; S-?

Скорость тела через 4с находим по формуле:

V=Vo+g*t=10+10*4=50м/с

Перемещение тела за 4 с равно:

S=Vo*t+gt²/2=10*4+10*4²/2=120м

Answer 2

Problem Analysis

We are given that an object is thrown vertically downwards with an initial velocity of 10 m/s. We need to determine the velocity and displacement of the object after 4 seconds.

Solution

To solve this problem, we can use the equations of motion for uniformly accelerated motion. Since the object is moving vertically downwards, we can assume that the acceleration due to gravity is acting in the negative direction.

The equations of motion for uniformly accelerated motion are:

1. Final velocity (v) = Initial velocity (u) + (acceleration (a) * time (t)) 2. Displacement (s) = Initial velocity (u) * time (t) + (1/2) * acceleration (a) * (time (t))^2

Let's calculate the velocity and displacement of the object after 4 seconds.

Calculation

Given: Initial velocity (u) = 10 m/s Time (t) = 4 seconds Acceleration (a) = -9.8 m/s^2 (acceleration due to gravity)

Using the equations of motion:

1. Final velocity (v) = u + (a * t) 2. Displacement (s) = u * t + (1/2) * a * t^2

Substituting the given values:

1. Final velocity (v) = 10 m/s + (-9.8 m/s^2 * 4 s) = 10 m/s - 39.2 m/s = -29.2 m/s 2. Displacement (s) = 10 m/s * 4 s + (1/2) * (-9.8 m/s^2) * (4 s)^2 = 40 m - 78.4 m = -38.4 m

Answer

The velocity of the object after 4 seconds is -29.2 m/s (moving downwards) and the displacement of the object after 4 seconds is -38.4 m (moving downwards).

Please let me know if I can help you with anything else.