Question

при аварийном торможение автомобиля, движущегося со скоростью 72 км/ч, остановился через 5 сек. Найти тормозной путь

Answer 1

Calculation of Braking Distance

To calculate the braking distance of a car during emergency braking, we need to use the formula:

Braking distance = Initial velocity * Time + (1/2) * Acceleration * Time^2

Given: - Initial velocity (v) = 72 km/h - Time (t) = 5 seconds

First, let's convert the initial velocity from km/h to m/s: - 1 km/h = 0.27778 m/s - Initial velocity (v) = 72 km/h * 0.27778 m/s = 20 m/s

Next, we can calculate the braking distance using the formula mentioned above:

Braking distance = 20 m/s * 5 s + (1/2) * 0 * (5 s)^2

Since the car has come to a stop, the final velocity is 0 m/s, and the acceleration is 0 m/s^2.

Simplifying the equation, we get:

Braking distance = 20 m/s * 5 s + 0 m/s^2 * (5 s)^2

Braking distance = 100 m

Therefore, the braking distance of the car is 100 meters.