Question

Автомобиль начал свое движение с ускорением 5 м/с2. За сколько времени автомобиль пройдет 3 км? P.S. Задачу эту я сама намусолила, мне бы вот понять, как такие задачи решать. Буду приемного благодарна, кто мне объяснит, как такое решать!

Answer 1

По формуле a=( v-v0 )/t

Answer 2

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

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

In this case, the initial velocity is 0 m/s (since the car starts from rest), the acceleration is 5 m/s^2, and the distance is 3 km (which we need to convert to meters).

Converting distance to meters

To convert 3 km to meters, we multiply it by 1000 (since there are 1000 meters in a kilometer):

3 km * 1000 m/km = 3000 m

Now we have the distance in meters.

Solving for time

We can rearrange the equation to solve for time:

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

Plugging in the values we have:

3000 m = (1/2) * 5 m/s^2 * time^2

Simplifying the equation:

3000 m = 2.5 m/s^2 * time^2

Dividing both sides of the equation by 2.5 m/s^2:

1200 = time^2

Taking the square root of both sides:

time = √1200

Using a calculator, we find that the square root of 1200 is approximately 34.64.

Therefore, the time it takes for the car to travel 3 km with an acceleration of 5 m/s^2 is approximately 34.64 seconds.

I hope this explanation helps you understand how to solve this type of problem! Let me know if you have any further questions.