Question

Двигаясь равноускорено из состоянии пакоя, автомобиль прошел путь s=28 m за промежуток времени дельта t =4.0с. Чему равен модуль ускорения автомобиля

Answer 1

A = 2S / t²
a = 28 × 2 / 4² = 56 / 16 = 3.5 м/c²
Ответ: a = 3.5 м/c²

Answer 2

Двигаясь равноускорено из состоянии пакоя, автомобиль прошел путь s=28 m за промежуток времени дельта t =4.0с. Чему равен модуль ускорения автомобиля?

Для решения этой задачи, мы можем использовать формулу для равноускоренного движения из состояния покоя:

$$s = \frac{at^2}{2}$$

где s - пройденный путь, a - ускорение, t - время.

Подставляя данные из условия, получаем:

$$28 = \frac{a \cdot 4.0^2}{2}$$

Отсюда, находим ускорение:

$$a = \frac{28 \cdot 2}{4.0^2}$$

$$a = 3.5 \text{ м/с}^2$$

Ответ: модуль ускорения автомобиля равен 3.5 м/с^2.

Answer 3

Calculation of Acceleration

To calculate the magnitude of the acceleration of the car, we can use the formula:

acceleration (a) = (change in velocity (Δv)) / (change in time (Δt))

Given that the car is moving with constant acceleration from rest and has traveled a distance of 28 m in a time interval of 4.0 s, we can find the acceleration.

Calculation Steps:

1. We know that the initial velocity (u) of the car is 0 m/s because it starts from rest. 2. We can calculate the final velocity (v) of the car using the formula:

v = u + a * t

where: - v is the final velocity, - u is the initial velocity (0 m/s), - a is the acceleration, and - t is the time interval (4.0 s).

Since the car starts from rest, the equation simplifies to:

v = a * t

Plugging in the values, we get:

v = a * 4.0

3. We can calculate the acceleration (a) using the formula:

a = (v - u) / t

Plugging in the values, we get:

a = (v - 0) / 4.0

Simplifying further, we have:

a = v / 4.0

4. We know that the distance traveled (s) is given by the formula:

s = u * t + (1/2) * a * t^2

Since the car starts from rest, the equation simplifies to:

s = (1/2) * a * t^2

Plugging in the values, we get:

28 = (1/2) * a * (4.0)^2

Simplifying further, we have:

28 = 8 * a

Solving for a, we get:

a = 28 / 8

Therefore, the magnitude of the acceleration of the car is:

a = 3.5 m/s^2

So, the magnitude of the acceleration of the car is 3.5 m/s^2.