Question

Автомобиль, двигаясь равноускоренно с состояния покоя, за 5 с проехал путь 25 м. Определите ускорение автомобиля на этом пути

Answer 1

S=S(0)+V(0)t+at^2/2
S(0)=0
V(0)=0
S=at^2/2
a=2S/t^2
a=25•2/25=2м/с^2

Answer 2

Problem Analysis

We are given that a car moves with constant acceleration from rest and covers a distance of 25 m in 5 s. We need to determine the acceleration of the car on this path.

Solution

To find the acceleration of the car, we can use the formula:

distance = initial velocity * time + (1/2) * acceleration * time^2

Given that the car starts from rest, the initial velocity is 0. Therefore, the formula simplifies to:

distance = (1/2) * acceleration * time^2

Substituting the given values, we have:

25 m = (1/2) * acceleration * (5 s)^2

Simplifying the equation, we get:

25 m = (1/2) * acceleration * 25 s^2

Dividing both sides of the equation by 25 s^2, we get:

1 m = (1/2) * acceleration

Multiplying both sides of the equation by 2, we get:

2 m = acceleration

Therefore, the acceleration of the car on this path is 2 m/s^2.

Answer

The acceleration of the car on this path is 2 m/s^2.