Question

«Миссия невыполнима» Том Круз стал первым актёром в истории кино, который выполнил HALO- прыжок — один из самых рискованных прыжков с парашютом. Он сделал 106 попыток, прежде чем лучшие кадры попали в фильм «Миссия невыполнима». На его голове был специальный кислородный шлем, который спасал его от ледяного ветра и жёстких метеоусловий. Узнай, на какой высоте (в метрах) Том Круз раскрыл парашют, если за первую секунду он пролетел 5 м, а за каждую следующую — на 10 м больше, чем за предыдущую. При этом он долетел до земли за 11 секунд.​

Answer 1

Пошаговое объяснение:

1с =5м; 2с=15м; 3с =25м; 4с = 35м; 5с = 45м; 6с = 55м; 7с = 65м; 8с = 75м; 9с = 85м; 10с = 95м; 10с=105м; 11с = 115м.

5 + 15 + 25 + 35 + 45 + 55 + 65 + 75 + 85 + 95 + 105 + 115 = 720 м.

Answer 2

Answer in detail. "Mission Impossible" Tom Cruise became the first actor in the history of cinema who performed a HALO jump - one of the most risky jumps with a parachute. He made 106 attempts before the best shots got into the film "Mission Impossible". On his head was a special oxygen helmet that saved him from the icy wind and harsh weather conditions. Find out at what height (in meters) Tom Cruise opened the parachute, if for the first second he flew 5 m, and for each next one - 10 m more than for the previous one. At the same time, he flew to the ground in 11 seconds.

To answer this question, we need to find the total distance that Tom Cruise covered during his free fall before opening the parachute. We can use the formula for the sum of an arithmetic progression to do this:

$$S_n = \frac{n}{2}(2a + (n-1)d)$$

where $S_n$ is the sum of the first $n$ terms, $a$ is the first term, and $d$ is the common difference. In this case, we have:

$$S_{11} = \frac{11}{2}(2 \times 5 + (11-1) \times 10)$$

Simplifying, we get:

$$S_{11} = 5.5 \times (10 + 100)$$

$$S_{11} = 5.5 \times 110$$

$$S_{11} = 605$$

So, Tom Cruise covered 605 meters during his free fall. To find the height at which he opened the parachute, we need to subtract this distance from the initial height of the HALO jump. According to the [Wikipedia article] on HALO jumps, the typical altitude for such a jump is between 7,620 and 12,192 meters. Assuming that Tom Cruise jumped from the higher end of this range, we can calculate the height as follows:

$$H = 12,192 - 605$$

$$H = 11,587$$

Therefore, the height at which Tom Cruise opened the parachute was approximately 11,587 meters. This is a very impressive feat, considering that the air pressure and oxygen level at this altitude are very low. Tom Cruise had to wear a special suit and helmet to protect himself from the extreme conditions. He also had to coordinate his timing and position with the camera crew, who were also jumping with him. He repeated this stunt 106 times until he got the perfect shot for the film. He is truly a dedicated and daring actor.