Question

Задача 7.4. Интервью Карлсона.Во время своего интервью городскому телевидению Карлсон вспомнил про один случай. Как-то раз, сидя на краю крыши, он увидел внизу жулика, выбегающиего из подъезда дома со скоростью 7 м/с. Карлсон не растерялся, сразу же спикировал вертикально вниз со скоростью 15 м/с,погнался за негодяем и догнал его. Ещё Карлсон заметил, что скорость его горизонтального полёта была равна 10 м/с, а высота, с которой он пикировал, составила 27 м. На каком расстоянии от подъезда Карлсон ДОгнал жулика? Сколько времени прошло от момента обнаруженияжулика до его поимки? Считать, что жулик убегал по прямой.​ Нужно с полным решением

Answer 1

Ответ:

59 м/с

Объяснение:

1 27м + 10 м/с=37 м/с

2 37м/с+7м / с=44м/с

3 44м/с +15м/с = 59 м

Ответ : 59 мин прошло от момента обнаружения жулика до его поимки

Answer 2

To solve this problem, we need to use the equations of motion. Let's break it down step by step.

Given information:

- Speed of the thief (julik) running out of the entrance: 7 m/s - Vertical speed of Carlson while diving: 15 m/s - Horizontal speed of Carlson: 10 m/s - Height from which Carlson dived: 27 m

Finding the distance from the entrance where Carlson caught the thief:

To find the distance from the entrance where Carlson caught the thief, we need to calculate the horizontal distance traveled by Carlson.

We can use the equation: distance = speed × time

Since the horizontal speed of Carlson is 10 m/s, we can calculate the time taken by Carlson to catch the thief using the equation: time = distance / speed

Let's assume the time taken by Carlson to catch the thief is 't' seconds.

The horizontal distance traveled by Carlson is the product of the horizontal speed and the time taken: distance = 10t

Now, let's find the value of 't' using the vertical motion of Carlson.

Finding the time taken by Carlson to catch the thief:

To find the time taken by Carlson to catch the thief, we need to calculate the time of flight of Carlson while diving.

We can use the equation: time = 2 × (vertical speed / acceleration due to gravity)

The vertical speed of Carlson while diving is 15 m/s, and the acceleration due to gravity is approximately 9.8 m/s^2.

Substituting the values, we get: time = 2 × (15 / 9.8)

Simplifying, we find: time ≈ 3.06 seconds

Now that we have the time taken by Carlson to catch the thief, we can substitute this value into the equation for the horizontal distance traveled.

Substituting 't' as 3.06 seconds, we get: distance = 10 × 3.06

Simplifying, we find: distance ≈ 30.6 meters

Therefore, Carlson caught the thief at a distance of approximately 30.6 meters from the entrance.

Finding the time elapsed from the moment the thief was spotted until he was caught:

To find the time elapsed from the moment the thief was spotted until he was caught, we can use the time taken by Carlson to catch the thief, which we calculated as 3.06 seconds.

Therefore, the time elapsed from the moment the thief was spotted until he was caught is approximately 3.06 seconds.

Please note that the calculations provided are based on the given information and assumptions made.