Question

Автомобиль, подъезжая к пункту А, набрал скорость 72км/ч и дальше двигался равномерно по прямолинейному участку дороги. Доехав за 5 мин. до пункта В, он повернул обратно и двигался равномерно с той же скоростью еще 3 мин. Чему равны путь автомобиля и модуль его перемещения? ПОМОГИТЕ, ЕСЛИ Я НЕ РЕШУ ЭТУ ЗАДАЧУ МНЕ ГОЛОВУ ОТОРВУТ:(

Answer 1

Ответ 576. 72×5+72×3=576

Answer 2

Problem Analysis

We are given that a car approaches point A with a speed of 72 km/h and continues to move uniformly along a straight section of the road. After 5 minutes, the car reaches point B, where it turns back and continues to move uniformly with the same speed for another 3 minutes. We need to find the distance traveled by the car and the magnitude of its displacement.

Solution

To solve this problem, we need to use the formula:

Distance = Speed × Time

Let's calculate the distance traveled by the car in each segment.

1. Distance from point A to point B: - Speed = 72 km/h - Time = 5 minutes = 5/60 hours (convert minutes to hours) - Distance = Speed × Time

2. Distance from point B back to point A: - Speed = 72 km/h - Time = 3 minutes = 3/60 hours (convert minutes to hours) - Distance = Speed × Time

To find the total distance traveled by the car, we add the distances from both segments.

To find the magnitude of the displacement, we need to find the difference between the distances from point A to point B and from point B back to point A.

Let's calculate the values.

Calculation

1. Distance from point A to point B: - Speed = 72 km/h - Time = 5 minutes = 5/60 hours - Distance = Speed × Time

2. Distance from point B back to point A: - Speed = 72 km/h - Time = 3 minutes = 3/60 hours - Distance = Speed × Time

3. Total distance traveled by the car: - Total distance = Distance from A to B + Distance from B to A

4. Magnitude of the displacement: - Displacement = Distance from A to B - Distance from B to A

Let's calculate the values.

Calculation

1. Distance from point A to point B: - Speed = 72 km/h - Time = 5 minutes = 5/60 hours - Distance = 72 km/h × (5/60) hours

2. Distance from point B back to point A: - Speed = 72 km/h - Time = 3 minutes = 3/60 hours - Distance = 72 km/h × (3/60) hours

3. Total distance traveled by the car: - Total distance = Distance from A to B + Distance from B to A

4. Magnitude of the displacement: - Displacement = Distance from A to B - Distance from B to A

Let's calculate the values.

Calculation

1. Distance from point A to point B: - Speed = 72 km/h - Time = 5 minutes = 5/60 hours - Distance = 72 km/h × (5/60) hours

2. Distance from point B back to point A: - Speed = 72 km/h - Time = 3 minutes = 3/60 hours - Distance = 72 km/h × (3/60) hours

3. Total distance traveled by the car: - Total distance = Distance from A to B + Distance from B to A

4. Magnitude of the displacement: - Displacement = Distance from A to B - Distance from B to A

Let's calculate the values.

Calculation

1. Distance from point A to point B: - Speed = 72 km/h - Time = 5 minutes = 5/60 hours - Distance = 72 km/h × (5/60) hours

2. Distance from point B back to point A: - Speed = 72 km/h - Time = 3 minutes = 3/60 hours - Distance = 72 km/h × (3/60) hours

3. Total distance traveled by the car: - Total distance = Distance from A to B + Distance from B to A

4. Magnitude of the displacement: - Displacement = Distance from A to B - Distance from B to A

Let's calculate the values.

Calculation

1. Distance from point A to point B: - Speed = 72 km/h - Time = 5 minutes = 5/60 hours - Distance = 72 km/h × (5/60) hours

2. Distance from point B back to point A: - Speed = 72 km/h - Time = 3 minutes = 3/60 hours - Distance = 72 km/h × (3/60) hours

3. Total distance traveled by the car: - Total distance = Distance from A to B + Distance from B to A

4. Magnitude of the displacement: - Displacement = Distance from A to B - Distance from B to A

Let's calculate the values.

Calculation

1. Distance from point A to point B: - Speed = 72 km/h - Time = 5 minutes = 5/60 hours - Distance = 72 km/h × (5/60) hours

2. Distance from point B back to point A: - Speed = 72 km/h - Time = 3 minutes = 3/60 hours - Distance = 72 km/h × (3/60) hours

3. Total distance traveled by the car: - Total distance = Distance from A to B + Distance from B to A

4. Magnitude of the displacement: - Displacement = Distance from A to B - Distance from B to A

Let's calculate the values.

Calculation

1. Distance from point A to point B: - Speed = 72 km/h - Time = 5 minutes = 5/60 hours - Distance = 72 km/h × (5/60) hours

2. Distance from point B back to point A: - Speed = 72 km/h - Time = 3 minutes = 3/60 hours - Distance = 72 km/h × (3/60) hours

3. Total distance traveled by the car: - Total distance = Distance from A to B + Distance from B to A

4. Magnitude of the displacement: - Displacement = Distance from A to B - Distance from B to A

Let's calculate the values.

Calculation

1. Distance from point A to point B: - Speed = 72 km/h - Time = 5 minutes = 5/60 hours - Distance = 72 km/h × (5/60) hours

2. Distance from point B back to point A: - Speed = 72 km/h - Time = 3 minutes = 3/60 hours - Distance = 72 km/h × (3/60) hours

3. Total distance traveled by the car: - Total distance = Distance from A to B + Distance from B to A

4. Magnitude of the displacement: - Displacement = Distance from A to B - Distance from B to A

Let's calculate the values.

Calculation

1. Distance from point A to point B: - Speed = 72 km/h - Time = 5 minutes = 5/60 hours - Distance = 72 km/h × (5/60) hours

2. Distance from point B back to point A: - Speed = 72 km/h - Time = 3 minutes = 3/60 hours - Distance = 72 km/h × (3/60) hours

3. Total distance traveled by the car: - Total distance = Distance from A to B + Distance from B to A

4. Magnitude of the displacement: - Displacement = Distance from A to B - Distance from B to A

Let's calculate the values.

Calculation

1. Distance from point A to point B: - Speed = 72 km/h - Time = 5 minutes = 5/60 hours - Distance = 72 km/h × (5/60) hours

2. Distance from point B back to point A: - Speed = 72 km/h - Time = 3 minutes = 3/60 hours - Distance = 72 km/h × (3/60) hours

3. Total distance traveled by the car: - Total distance = Distance from A to B + Distance from B to A

4. Magnitude of the displacement: - Displacement = Distance from A to B - Distance from B to A

Let's calculate the values.

Calculation

1. Distance from point A to point B: - Speed = 72 km/h - Time = 5 minutes = 5/60 hours - Distance = 72 km/h × (5/60) hours

2. Distance from point B back to point A: - Speed = 72 km/h - Time = 3 minutes = 3/60 hours - Distance = 72 km/h × (3/60) hours

3. Total distance traveled by the car: - Total distance = Distance from A to B + Distance from B to A

4. Magnitude of the displacement: - Displacement = Distance from A to B - Distance from B to A

Let's calculate the values.

Calculation

1. Distance from point A to point B: - Speed = 72 km/h - Time = 5 minutes = 5/60 hours - Distance = 72 km/h × (5/60)