Question

автомобиль проехал по улице путь равный 400 м затем свернул направо и проехал по переулку еще 300м считая движение прямоленейным на каждом из отрезков пути. найдите путь автомобиля и его перемещения

Answer 1

Находим путь автомобиля:

S=400+300=700м

Перемещение:

$L=\sqrt{400^{2}+300^{2}}=\sqrt{250000}=500$ м

Ответ: 700м, 500м

Answer 2

Calculating the Car's Path and Displacement

To find the car's path and displacement, we can use the given information about the distances traveled in a straight line and then turning right.

The car first traveled 400 meters in a straight line and then turned right, traveling an additional 300 meters in the perpendicular direction.

Calculating the Path and Displacement:

The total path traveled by the car can be calculated using the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we can calculate the total path traveled by the car as follows:

1. Calculating the Path: - The path traveled by the car can be calculated using the formula: \[ \text{Path} = \sqrt{(\text{straight distance})^2 + (\text{perpendicular distance})^2} \]

Substituting the given values: \[ \text{Path} = \sqrt{(400\,m)^2 + (300\,m)^2} \]

This yields: \[ \text{Path} = \sqrt{160000\,m^2 + 90000\,m^2} \] \[ \text{Path} = \sqrt{250000\,m^2} \] \[ \text{Path} = 500\,m \]

- Therefore, the total path traveled by the car is 500 meters.

2. Calculating the Displacement: - The displacement of the car can be calculated as the straight-line distance from the initial position to the final position.

- The displacement can be calculated using the formula: \[ \text{Displacement} = \sqrt{(\text{straight distance})^2 + (\text{perpendicular distance})^2} \]

Substituting the given values: \[ \text{Displacement} = \sqrt{(400\,m)^2 + (300\,m)^2} \]

This yields: \[ \text{Displacement} = \sqrt{160000\,m^2 + 90000\,m^2} \] \[ \text{Displacement} = \sqrt{250000\,m^2} \] \[ \text{Displacement} = 500\,m \]

- Therefore, the displacement of the car is also 500 meters.

Conclusion:

The car traveled a total path of 500 meters and its displacement was also 500 meters.