Question

Автомобиль движется по прямому участку дороги в городе со скоростью 25 м/с. Сотрудник ДПС, находясь на посту в стороне от дороги, увидел автомобиль на расстоянии 126 м. С какой минимальной скоростью должен двигаться к дороге инспектор, чтобы через 5 с успеть остановить автомобиль и, впоследствии, выписать штраф за превышение скорости? Указание: ответ выразить в единицах системы СИ.

Answer 1

Машина за 5 секунд проедет 125м
Значит инспектор должен пройти пешком 1 метр за 5 секунд
Итого 1/5=0,2м/с

Answer 2

Calculation of Minimum Speed Required to Stop the Car

To calculate the minimum speed at which the inspector must move towards the road in order to stop the car within 5 seconds, we need to consider the initial distance between the inspector and the car, the time available, and the deceleration of the car.

Given: - Speed of the car: 25 m/s - Distance between the inspector and the car: 126 m - Time available to stop the car: 5 seconds

To stop the car within 5 seconds, the inspector needs to cover the initial distance of 126 m and reach the car before it passes that point. The inspector's speed should be such that he can cover this distance in 5 seconds.

Let's calculate the minimum speed required using the formula:

Minimum Speed = Distance / Time

Substituting the values:

Minimum Speed = 126 m / 5 s

Calculating the minimum speed:

Minimum Speed = 25.2 m/s

Therefore, the inspector must move towards the road with a minimum speed of 25.2 m/s in order to stop the car within 5 seconds and subsequently issue a speeding ticket.

Please note that the above calculation assumes constant speed and deceleration of the car, and does not take into account other factors such as reaction time and braking distance.