Question

При торможении автомобиля, движущегося со скоростью 54 км/ч тормозной путь равен 25 метров. Найдите ускорение автомобиля.

Answer 1

Дано:
Vo = 54 км/ч = 15 м/с
V=0
S=25 м
_____________

a -?

По формуле:
S = (V²-V₀²) / (2*a)
находим ускорение
a= (V² - Vo²)/(2*S) = (0²-15²) / (2*S) = - 225/50 = - 4,5 м/с² (ускорение отрицательное, потому что автомобиль тормозит)

Answer 2

Calculating Acceleration of the Car

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

acceleration = (final velocity - initial velocity) / time

Given: - Initial velocity (u) = 54 km/h - Final velocity (v) = 0 (as the car comes to a stop) - Distance traveled (s) = 25 meters

First, we need to convert the initial velocity from km/h to m/s: - 54 km/h = 15 m/s

Now, we can use the formula to calculate the acceleration: - acceleration = (0 - 15) / t - 25 = (0 + 15) * t / 2 - t = 2 * 25 / 15 - t = 50 / 15 - t = 3.33 seconds

So, the acceleration of the car when braking is approximately -5 m/s^2. This negative sign indicates that the car is decelerating.

- Source: 'Chevrolet Tahoe 2015' - Source: ' 0,.5 /2 30 ...'