Question

Автомобіль рухається зі швидкістю 10 м/с, а велосипедист 5 м/с, пребуваючи на відстані один від іншого на 300м. Визначити шлях, який кожен пройде до зустрічі, якщо виїхали одночасно автомобиль движется со скоростю 10м/с, а велосипедист 5м/с, находясь на расстояние друг от друга на 300м. Определите путь, которий каждый пройдет до встречи, если выехали одновременно.

Answer 1

Запишем уравнения движения:

Велосипедист 
X1=V*t
X1=5*t               (*)

Автомобиль:
X2=-300+10*t    (**)

Приравняем (*) и (**)
5*t = - 300 + 10*t
5*t=300
t=60 c

Велосипедист проехал 5*60=300 метров
Автомобиль проехал 300+300 = 600 метров

Answer 2

Calculation of the Distance Traveled by the Car and the Cyclist

To determine the distance traveled by the car and the cyclist before they meet, we can use the formula:

Distance = Speed × Time

Given that the car is moving at a speed of 10 m/s and the cyclist is moving at a speed of 5 m/s, and they start from a distance of 300 m apart, we can calculate the time it takes for them to meet.

Let's denote the time it takes for them to meet as 't'.

The distance traveled by the car can be calculated as:

Distance_car = Speed_car × Time = 10 m/s × t

The distance traveled by the cyclist can be calculated as:

Distance_cyclist = Speed_cyclist × Time = 5 m/s × t

Since the total distance traveled by both the car and the cyclist is equal to the initial distance between them (300 m), we can set up the following equation:

Distance_car + Distance_cyclist = 300 m

Substituting the expressions for the distances traveled by the car and the cyclist, we get:

10 m/s × t + 5 m/s × t = 300 m

Simplifying the equation, we have:

15 m/s × t = 300 m

Dividing both sides of the equation by 15 m/s, we find:

t = 300 m / 15 m/s = 20 s

Therefore, it will take 20 seconds for the car and the cyclist to meet.

To calculate the distance traveled by each, we can substitute the value of 't' into the expressions for the distances:

Distance_car = 10 m/s × 20 s = 200 m

Distance_cyclist = 5 m/s × 20 s = 100 m

Hence, the car will travel a distance of 200 meters, and the cyclist will travel a distance of 100 meters before they meet.

Please let me know if you need any further assistance!