Question

Скорость автомобиля увеличилась с 36 км/ч до 72 км/ч за 60 с. Определить ускорение и пройденный путь.

Answer 1

Ответ:

Ускорение - $\frac{1}{6}$ м/с^2, путь - 900м.

Объяснение:

v1=36 км/ч переводим в $>=10м/с</p><p>v2=72 км/ч аналогично = 20 м/с.</p><p>Ускорение считаем по формуле: a= <img src=$=$\frac{20 -10 }{60}$=$\frac{1}{6}$ м/с^2≈0.17 м/с^2

Далее вычисляем пройденный путь по формуле:

S=v1*t+$\frac{at^2}{2}$= 10 м/с*60 с + (1/6 м/с^2 * (60c)^2)/2 = 900 м

Answer 2

Given Information:

- Initial speed of the car: 36 km/h - Final speed of the car: 72 km/h - Time taken to increase the speed: 60 seconds

Calculating Acceleration:

To calculate the acceleration, we can use the formula:

Acceleration (a) = (Final Speed - Initial Speed) / Time

Substituting the given values into the formula:

Acceleration (a) = (72 km/h - 36 km/h) / 60 s

Converting the speeds from km/h to m/s:

Acceleration (a) = ((72 km/h - 36 km/h) / 60 s) * (1000 m/1 km) * (1 h/3600 s)

Simplifying the equation:

Acceleration (a) = (36 km/h) * (1000 m/1 km) * (1 h/3600 s) / 60 s

Acceleration (a) = 10 m/s^2

Therefore, the acceleration of the car is 10 m/s^2.

Calculating Distance:

To calculate the distance traveled, we can use the formula:

Distance (d) = Initial Speed * Time + (1/2) * Acceleration * Time^2

Substituting the given values into the formula:

Distance (d) = 36 km/h * 60 s + (1/2) * 10 m/s^2 * (60 s)^2

Converting the initial speed from km/h to m/s:

Distance (d) = (36 km/h) * (1000 m/1 km) * (1 h/3600 s) * 60 s + (1/2) * 10 m/s^2 * (60 s)^2

Simplifying the equation:

Distance (d) = 600 m + (1/2) * 10 m/s^2 * 3600 s^2

Distance (d) = 600 m + 18000 m

Distance (d) = 18600 m

Therefore, the car has traveled a distance of 18600 meters.

Summary:

The acceleration of the car is 10 m/s^2 and it has traveled a distance of 18600 meters.