Question

Водитель начинает тормозить в тот момент, когда спидометр автомобиля фиксирует скорость 72 км/ч. Через какое время автомобиль остановится, если он двигался с ускорением 2м/c? Каким был его тормозной путь?

Answer 1

Решение в скрине. Если есть вопросы, спрашивай.

Answer 2

Calculation of Stopping Time and Braking Distance

To calculate the stopping time and braking distance of a car, we need to consider the car's initial speed, the acceleration, and the deceleration due to braking.

Given: - Initial speed (v0) = 72 km/h = 20 m/s - Acceleration (a) = 2 m/s^2

To find the stopping time (t), we can use the equation:

v = v0 + at

where: - v is the final velocity (0 m/s, as the car comes to a stop) - v0 is the initial velocity (20 m/s) - a is the acceleration (-2 m/s^2, as it is deceleration due to braking) - t is the time taken to stop

Rearranging the equation, we have:

t = (v - v0) / a

Substituting the values, we get:

t = (0 - 20) / -2 = 10 seconds

Therefore, the car will take 10 seconds to come to a stop.

To find the braking distance (d), we can use the equation:

d = v0t + (1/2)at^2

Substituting the values, we get:

d = 20 * 10 + (1/2) * (-2) * (10)^2 = 200 - 100 = 100 meters

Therefore, the car will travel a distance of 100 meters before coming to a stop.

Please note that these calculations assume constant acceleration and do not take into account factors such as friction, air resistance, or other external forces that may affect the stopping time and braking distance of a car.