Question

Два автомобиля eдут нaвcтpeчу дpуг дpугу и вcтpeчaютcя в 1000м cпpaвa oт ocтaнoвки O. Пpoдoлжaя движeниe, зa нeкoтopoe вpeмя t, пepвый автомобиль пepeмecтилcя oт мecтa вcтpeчи нa 400м (впpaвo), a втopoй — нa 300м (влeвo). Oпpeдeлитe кoopдинaты кaждoгo автомобиля oтнocитeльнo ocтaнoвки и paccтoяниe мeжду ними чepeз вpeмя t пocлe иx вcтpeчи. Выполните построение координатной прямой и проекций векторов перемещения автомобилей.

Answer 1

Ответ:

Объяснение:

Координата первого автомобиля:

X₁ = 1000 + 400 = 1 400 м

Координата второго автомобиля:

X₂ = 1000 - 300 = 700 м

Расстояние между автомобилями:

S = X₁ - X₂ = 1 400 - 700 = 700 м

Строим чертеж:

Answer 2

To solve this problem, let's break it down step by step.

Given Information:

- Two cars are moving towards each other and meet at a point 1000m to the right of the stop point O. - After the meeting, the first car moves 400m to the right, and the second car moves 300m to the left.

Step 1: Determine the coordinates of each car relative to the stop point O.

Let's assume that the stop point O is the origin (0, 0) on a coordinate plane.

- The first car meets the second car at a point 1000m to the right of the stop point O. Therefore, the first car's position after the meeting is (1000, 0). - The second car meets the first car at the same point, so its position after the meeting is also (1000, 0).

Step 2: Determine the distance between the two cars after time t.

Since the first car moves 400m to the right and the second car moves 300m to the left after the meeting, the distance between them will be the sum of these distances.

- Distance between the two cars after time t = 400m + 300m = 700m.

Step 3: Plotting the coordinate plane and vectors.

Let's plot the coordinate plane and the vectors representing the displacement of each car.

``` Y | | | B (1000, 0) | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |