Question

1. Тело брошенное горизонтально с высоты 6 м упала на землю на расстояние 36 м от точки бросания. Какова начальная скорость и время?

Answer 1

Скорость 20 метров в секунду время 3 секунды

Answer 2

Problem Analysis

We are given the following information: - The body is thrown horizontally from a height of 6 m. - The body lands on the ground at a distance of 36 m from the point of release.

We need to find: - The initial velocity of the body. - The time it takes for the body to reach the ground.

Solution

To solve this problem, we can use the equations of motion for horizontal and vertical motion.

Let's start by finding the time it takes for the body to reach the ground.

Finding the Time

The vertical motion of the body can be described using the equation:

h = ut + (1/2)gt^2 Where: - h is the vertical displacement (6 m) - u is the initial vertical velocity (0 m/s, as the body is thrown horizontally) - g is the acceleration due to gravity (approximately 9.8 m/s^2) - t is the time

Since the body is thrown horizontally, the initial vertical velocity (u) is 0 m/s.

Substituting the given values into the equation, we can solve for t:

6 = 0 * t + (1/2) * 9.8 * t^2

Simplifying the equation:

6 = 4.9 * t^2

Dividing both sides by 4.9:

t^2 = 6 / 4.9

Taking the square root of both sides:

t = √(6 / 4.9) ≈ 1.135 s

So, it takes approximately 1.135 seconds for the body to reach the ground.

Finding the Initial Velocity

To find the initial velocity of the body, we can use the equation for horizontal motion:

S = ut Where: - S is the horizontal displacement (36 m) - u is the initial horizontal velocity (the value we need to find) - t is the time (1.135 s)

Substituting the given values into the equation, we can solve for u:

36 = u * 1.135

Dividing both sides by 1.135:

u = 36 / 1.135 ≈ 31.7 m/s

So, the initial velocity of the body is approximately 31.7 m/s.

Summary

Based on the given information, we have determined the following: - The initial velocity of the body is approximately 31.7 m/s. - It takes approximately 1.135 seconds for the body to reach the ground.

Please note that the calculations are approximate due to rounding.

Let me know if there's anything else I can help you with!