Question

Help!!!!!!!! тело с поверхности земли бросили вертикально вверх со скоростью 20 м/с. чему будет равна скорость этого тела на высоте 5 м? ______ На укр языке: тіло з поверхні землі кинули вертикально вгору зі швидкістю 20 м/с. чому дорівнюватиме швидкість цього тіла на висоті 5 м?

Answer 1

Ответ:

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Answer 2

To find the velocity of an object at a certain height, we can use the principles of projectile motion. In this case, the object is thrown vertically upwards from the surface of the Earth with an initial velocity of 20 m/s. We want to determine the velocity of the object when it reaches a height of 5 m.

Initial Analysis

When the object is thrown vertically upwards, it experiences a constant acceleration due to gravity acting in the opposite direction of its motion. The acceleration due to gravity on Earth is approximately 9.8 m/s², directed downwards.

Approach

To find the velocity of the object at a height of 5 m, we can use the following steps:

1. Determine the time it takes for the object to reach a height of 5 m. 2. Use the time obtained in step 1 to calculate the final velocity of the object at that height.

Step 1: Time to Reach 5 m

To find the time it takes for the object to reach a height of 5 m, we can use the kinematic equation:

Δy = v₀t + (1/2)at²

Where: - Δy is the change in height (5 m in this case) - v₀ is the initial velocity (20 m/s) - t is the time taken - a is the acceleration due to gravity (-9.8 m/s²)

Rearranging the equation to solve for time (t), we have:

t = (Δy - v₀t) / (1/2)a

Substituting the given values, we get:

t = (5 m - 20 m/s * t) / (-4.9 m/s²)

Simplifying the equation, we have:

5 m = -20 m/s * t - 4.9 m/s² * t²

This is a quadratic equation in terms of time (t). We can solve it to find the time it takes for the object to reach a height of 5 m.

Step 2: Final Velocity at 5 m

Once we have the time it takes for the object to reach a height of 5 m, we can use the kinematic equation:

v = v₀ + at

Where: - v is the final velocity at the given height - v₀ is the initial velocity (20 m/s) - a is the acceleration due to gravity (-9.8 m/s²) - t is the time taken (obtained from step 1)

Substituting the values, we can calculate the final velocity at a height of 5 m.

Let's solve the equation to find the time and final velocity.

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