Question

Материальная точка прошла половину пути со скоростью 20 м/с, оставшуюся часть пути она половину времени двигалась со скоростью 25 м/с, а последний участок- со скоростью 35 м/с. Найти среднюю скорость за время движения точки

Answer 1

S/2=25*t1/2+35*t1/2- половина пути, где  t1-время на половину пути

Решив уравнение получаем t1=S/60.

Составим уравнение для всего времени S/40+S/60=(3*S+2*S)/120=S/24

Средняя скорость vср=S/t=S*64/S=64 м/с

Answer 2

Calculation of Average Speed

To find the average speed of the point, we need to calculate the total distance traveled and the total time taken.

Let's break down the problem into three parts:

1. The point traveled half of the distance with a speed of 20 m/s. 2. The point traveled the remaining half of the distance for half of the total time with a speed of 25 m/s. 3. The point traveled the last segment of the distance for the other half of the total time with a speed of 35 m/s.

Let's calculate the average speed step by step:

1. Distance traveled in the first part: half of the total distance. 2. Distance traveled in the second part: half of the total distance. 3. Distance traveled in the third part: the remaining half of the total distance.

Now, let's calculate the time taken for each part:

1. Time taken in the first part: half of the total time. 2. Time taken in the second part: half of the total time. 3. Time taken in the third part: the remaining half of the total time.

To find the average speed, we divide the total distance by the total time.

Let's perform the calculations:

1. Distance traveled in the first part: half of the total distance. 2. Distance traveled in the second part: half of the total distance. 3. Distance traveled in the third part: the remaining half of the total distance.

Now, let's calculate the time taken for each part:

1. Time taken in the first part: half of the total time. 2. Time taken in the second part: half of the total time. 3. Time taken in the third part: the remaining half of the total time.

To find the average speed, we divide the total distance by the total time.

Let's perform the calculations:

1. Distance traveled in the first part: half of the total distance. - Distance_1 = 0.5 * Total_Distance2. Distance traveled in the second part: half of the total distance. - Distance_2 = 0.5 * Total_Distance3. Distance traveled in the third part: the remaining half of the total distance. - Distance_3 = 0.5 * Total_Distance Now, let's calculate the time taken for each part:

1. Time taken in the first part: half of the total time. - Time_1 = 0.5 * Total_Time2. Time taken in the second part: half of the total time. - Time_2 = 0.5 * Total_Time3. Time taken in the third part: the remaining half of the total time. - Time_3 = 0.5 * Total_Time To find the average speed, we divide the total distance by the total time:

- Average_Speed = (Distance_1 + Distance_2 + Distance_3) / (Time_1 + Time_2 + Time_3)

Let's substitute the values and calculate the average speed.