Question

За третью секунду после начала равноускоренного движения автомобиль прошел 2,5 м. Определите перемещение автомобиля за шестую секунду после начала движения.

Answer 1

Ответ:

Объяснение:

Дано:

V₀ = 0

S₃₋₂ = 2,5 м

Найти: S₆ - ?

Путь, который проходит тело за третью секунду:

S₃₋₂ = S₃ - S₂ = (at₃²/2 - at₂²/2) = a/2(t₃² - t₂²)  =>

а = 2S₃₋₂ /(t₃² - t₂²) = 2 * 2,5/(3² - 2²) = 5/5 = 1 м/с²

Определим перемещение автомобиля за шестую секунду после начала движения.

S₆₋₅ = S₆ - S₅ = a/2(t₆² - t₅²) = 1/2(6²- 5²) = 1/2 * 11 = 5,5 м

Answer 2

Problem Analysis

We are given that a car undergoes uniformly accelerated motion and travels a distance of 2.5 m in the third second. We need to determine the displacement of the car in the sixth second.

Solution

To solve this problem, we can use the equations of motion for uniformly accelerated motion. The equation that relates displacement, initial velocity, time, and acceleration is:

Displacement (s) = Initial Velocity (u) * Time (t) + 0.5 * Acceleration (a) * Time (t)^2

In this case, we are given the displacement (2.5 m) and the time (3 seconds) for the third second. We need to find the displacement for the sixth second.

Let's calculate the acceleration first. We can use the equation:

Acceleration (a) = (Displacement (s) - Initial Velocity (u) * Time (t)) / (0.5 * Time (t)^2)

Substituting the given values:

Acceleration (a) = (2.5 m - u * 3 s) / (0.5 * 3^2 s^2)

Now, we can use this acceleration to find the displacement for the sixth second. We'll use the equation of motion:

Displacement (s) = Initial Velocity (u) * Time (t) + 0.5 * Acceleration (a) * Time (t)^2

Substituting the values:

Displacement (s) = u * 6 s + 0.5 * a * 6^2 s^2

Now, we can solve for the displacement (s) in the sixth second.

Calculation

Let's calculate the displacement of the car in the sixth second.

Using the equation for acceleration:

Acceleration (a) = (2.5 m - u * 3 s) / (0.5 * 3^2 s^2)

Using the equation for displacement in the sixth second:

Displacement (s) = u * 6 s + 0.5 * a * 6^2 s^2

Answer

The displacement of the car in the sixth second after the start of uniformly accelerated motion cannot be determined without knowing the initial velocity (u) and the acceleration (a) of the car.