Can you solve the time traveling car riddle? - Dan Finkel

641,860 views ・ 2023-07-06

TED-Ed


μ•„λž˜ μ˜λ¬Έμžλ§‰μ„ λ”λΈ”ν΄λ¦­ν•˜μ‹œλ©΄ μ˜μƒμ΄ μž¬μƒλ©λ‹ˆλ‹€.

λ²ˆμ—­: Hyesu Jeong κ²€ν† : DK Kim
00:06
Your time traveling has caused a few issues with the space-time continuum,
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μ—¬λŸ¬λΆ„μ˜ μ‹œκ°„ 여행이 μ‹œκ³΅κ°„ 연속체에 λͺ‡ 가지 문제λ₯Ό μΌμœΌμΌ°μ–΄μš”.
00:11
like your old high school bully, Riff, now ruling the future with an iron fist.
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μ˜›λ‚  고등학ꡐ λΆˆλŸ‰λ°° 리프가 철ꢌ으둜 미래λ₯Ό μ§€λ°°ν•˜λŠ” κ²ƒμ²˜λŸΌμš”.
00:16
You and the professor have driven your hovering DeLorean back to the past
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κ΅μˆ˜λ‹˜κ³Ό μ—¬λŸ¬λΆ„μ€ μ‹€μˆ˜λ₯Ό μˆ˜μŠ΅ν•˜λ €κ³ 
λ“€λ‘œλ¦¬μ•ˆμ„ 타고 과거둜 μ™”μ–΄μš”.
00:20
to undo your own meddling.
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00:22
But shortly after you fix your mistakes,
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그런데 μ‹€μˆ˜λ₯Ό λ°”λ‘œμž‘μ€ λ°”λ‘œ κ·Έλ•Œ,
00:25
another DeLorean appears and crashes into yours.
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λ“€λ‘œλ¦¬μ•ˆμ΄ 또 ν•œ λŒ€ λ‚˜νƒ€λ‚˜ μ—¬λŸ¬λΆ„μ˜ 차와 μΆ©λŒν–ˆμ–΄μš”.
00:28
Out step older versions of you and the professor,
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λ‚˜μ΄λ₯Ό 더 먹은 μ—¬λŸ¬λΆ„κ³Ό κ΅μˆ˜λ‹˜μ΄ μ°¨μ—μ„œ λ‚΄λ ΈλŠ”λ°,
00:32
who apparently had the same idea from somewhere else in the timeline.
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그듀도 같은 생각을 ν•˜λ©΄μ„œ λ‹€λ₯Έ μ‹œκ°„λŒ€μ—μ„œ λ‚ μ•„μ˜¨ κ±°μ˜€μ–΄μš”.
00:36
The professors panic and explain that the universe could collapse
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κ΅μˆ˜λ‹˜λ“€μ€ λ‹Ήν™©ν•΄ν•˜λ©΄μ„œ μš°λ¦¬κ°€ 같은 μ‹œκ°„λŒ€μ™€ μž₯μ†Œμ— μžˆμœΌλ‹ˆ
00:40
now that you’re both in the same time and place.
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μš°μ£Όκ°€ λ¬΄λ„ˆμ§ˆ μˆ˜λ„ μžˆλ‹€κ³  μ„€λͺ…ν•©λ‹ˆλ‹€.
00:43
The only hope is to merge the time streams by having each version of you
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μœ μΌν•œ 희망은 μ—¬λŸ¬λΆ„ λ‘˜μ΄ λ™μ‹œμ— μ§‘μœΌλ‘œ μ‹œκ°„ 여행을 ν•΄μ„œ
00:48
simultaneously time travel home.
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μ‹œκ°„μ˜ 흐름을 λ³‘ν•©ν•˜λŠ” κ²ƒμž…λ‹ˆλ‹€.
00:51
You both have plenty of fuel,
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μ—¬λŸ¬λΆ„ λ‘˜ λ‹€ μ—°λ£ŒλŠ” μΆ©λΆ„ν•˜μ§€λ§Œ,
00:53
but the crash broke your chrono-stabilizing gyroscopes
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μ‹œκ°„ μ•ˆμ •ν™” μžμ΄λ‘œμŠ€μ½”ν”„κ°€ 좩돌 λ•Œλ¬Έμ— λ§κ°€μ Έμ„œ
00:57
and your cars can only time travel under very specific circumstances.
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μ°¨λŠ” μ•„μ£Ό νŠΉμˆ˜ν•œ μƒν™©μ—μ„œλ§Œ μ‹œκ°„ 여행을 ν•  수 있게 λ˜μ—ˆμŠ΅λ‹ˆλ‹€.
01:02
Each of you will need to drive a mile south, then a mile east,
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남μͺ½μœΌλ‘œ 1마일, 동μͺ½μœΌλ‘œ 1마일 μš΄μ „ν•˜κ³ 
01:06
and then a mile north to get the gyroscopes into temporal alignment.
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또 뢁μͺ½μœΌλ‘œ 1λ§ˆμΌμ„ μš΄μ „ν•΄μ„œ μžμ΄λ‘œμŠ€μ½”ν”„μ˜ μ‹œκ°„μ„ μ •λ ¬ν•΄μ•Ό ν•©λ‹ˆλ‹€.
01:11
That would be easy,
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νœ΄λŒ€μš© νƒ€μž„κ²Œμ΄νŠΈλ₯Ό μ •λ ¬ν•  λ•Œ κ·Έκ±Έ μΆœλ°œμ μ— λ°°μΉ˜ν•œ λ‹€μŒ,
01:12
except each calibration requires placing a portable time gate
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νƒ€μž„κ²Œμ΄νŠΈλŠ” 움직이지 말고 μ •ν™•νžˆ 3λ§ˆμΌμ„ μš΄μ „ν•œ λ‹€μŒμ—
01:17
at your starting point,
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01:18
then driving into it at the precise end of your three mile drive without it moving.
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νƒ€μž„κ²Œμ΄νŠΈ μ•ˆμœΌλ‘œ λ“€μ–΄κ°€μ•Ό ν•œλ‹€λŠ” 점을 μ œμ™Έν•œλ‹€λ©΄
그건 μ‰½μŠ΅λ‹ˆλ‹€.
01:25
Not only that, but your two time gates must be placed at least 100 miles apart
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그뿐만이 μ•„λ‹ˆλΌ νƒ€μž„κ²Œμ΄νŠΈ 두 λŒ€λŠ”
100마일 이상 λ–¨μ–΄λœ¨λ €μ„œ μ‹ ν˜Έκ°€ μ„œλ‘œ κ°„μ„­ν•˜μ§€ μ•Šλ„λ‘ ν•΄μ•Ό ν•©λ‹ˆλ‹€.
01:31
so their signals don’t interfere.
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01:34
In other words, you need to find two different locations where you can drive
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λ‹€λ₯Έ 말둜 ν•˜λ©΄ μ—¬λŸ¬λΆ„μ€ 남μͺ½μœΌλ‘œ 1마일, 동μͺ½μœΌλ‘œ 1마일,
뢁μͺ½μœΌλ‘œ 1λ§ˆμΌμ„ μš΄μ „ν•΄μ„œ μΆœλ°œμ μ— μ •ν™•νžˆ λŒμ•„μ˜¬ 수 μžˆλŠ”
01:38
a mile south, a mile east, and then a mile north
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01:42
and end up exactly where you started.
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μ„œλ‘œ λ‹€λ₯Έ 두 지점을 μ°Ύμ•„μ•Ό ν•©λ‹ˆλ‹€.
01:45
The professors are about to show you where you can do this when they vanish,
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κ΅μˆ˜λ‹˜λ“€μ€ μ—¬λŸ¬λΆ„μ—κ²Œ μ–΄λŠ 지점이 κ°€λŠ₯ν•œμ§€ 보여주렀고 ν•˜λŠ” 참에
μ‹œκ°„λŒ€ λΆ•κ΄΄μ˜ ν¬μƒμžλ‘œ 사라지고 λ§™λ‹ˆλ‹€.
01:49
becoming victims of the collapsing timeline.
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01:52
It’s up to you now:
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어디에 νƒ€μž„κ²Œμ΄νŠΈλ₯Ό μ„€μΉ˜ν•΄μ•Ό ν• μ§€λŠ” 이제 μ—¬λŸ¬λΆ„μ—κ²Œ λ‹¬λ ΈμŠ΅λ‹ˆλ‹€.
01:53
where can you place the time gates?
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01:55
Pause here to figure it out yourself. Answer in 3
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μ—¬κΈ°μ„œ λ©ˆμΆ”κ³  μƒκ°ν•΄λ³΄μ„Έμš”. μ •λ‹΅ 3초 μ „.
01:58
Answer in 2
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μ •λ‹΅ 2초 μ „.
02:01
Answer in 1
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μ •λ‹΅ 1초 μ „.
02:03
If the earth were flat, there would be no way to solve this riddle.
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지ꡬ가 ν‰ν‰ν•˜λ‹€λ©΄, 이 수수께끼λ₯Ό ν’€ 방법은 μ—†μŠ΅λ‹ˆλ‹€.
02:07
What you need is some way to use the sphericalness of the planet,
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ν•„μš”ν•œ 것은 행성이 κ΅¬λΌλŠ” 점,
02:12
some of its notable features,
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ꡬ의 μ£Όλͺ©ν•  λ§Œν•œ νŠΉμ§•λ“€κ³Ό
02:14
and the fact that lines of latitude aren’t really linesβ€” they’re circles.
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μœ„λ„μ„ μ΄ μ‹€μ œλ‘œλŠ” 선이 μ•„λ‹ˆλΌ μ›μ΄λΌλŠ” μ‚¬μ‹€μž…λ‹ˆλ‹€.
02:19
The equator is the biggest of these circles, but it doesn’t do much for you,
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μ λ„λŠ” 이 원듀 쀑 κ°€μž₯ ν¬μ§€λ§Œ 도움이 λ˜μ§€λŠ” μ•ŠμŠ΅λ‹ˆλ‹€.
02:24
and you can’t even go south from the South Pole.
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그리고 λ‚¨κ·Ήμ—μ„œλŠ” 더 이상 남μͺ½μœΌλ‘œ 갈 수 μ—†μ§€μš”.
02:27
But let's try the North Pole.
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이제 뢁극을 μ‹œλ„ν•΄ λ΄…μ‹œλ‹€.
02:29
When you go a mile south, you'll be on a circle that runs east west.
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남μͺ½μœΌλ‘œ 1λ§ˆμΌμ„ κ°€λ©΄ λ™μ„œλ‘œ λ»—λŠ” 원 μœ„μ— μ„œκ²Œ λ©λ‹ˆλ‹€.
02:33
After a mile east, you’re still on that same circle,
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동μͺ½μœΌλ‘œ 1λ§ˆμΌμ„ κ°„ 후에도 μ—¬μ „νžˆ 같은 원 μœ„μ— 있고,
02:37
so the final mile north brings you back to your starting point.
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뢁μͺ½μœΌλ‘œ 1λ§ˆμΌμ„ κ°€λ©΄ 좜발점으둜 λŒμ•„κ°ˆ 수 μžˆμŠ΅λ‹ˆλ‹€.
02:41
Perfect.
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μ™„λ²½ν•΄μš”.
02:42
That’s one gate down, but where should you place the second?
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ν•œ κ²Œμ΄νŠΈλŠ” 이제 λλŠ”λ° 두 λ²ˆμ§ΈλŠ” 어디에 두어야 ν• κΉŒμš”?
02:46
Well, the nice thing about circles is that if you travel on them far enough,
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μ›μ˜ ν•œ νŠΉμ„±μ€ 원을 따라 μΆ©λΆ„νžˆ 움직이면
02:50
you come back to where you started.
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좜발점으둜 λŒμ•„μ˜¨λ‹€λŠ” κ²ƒμž…λ‹ˆλ‹€.
02:52
If there were a circle that had a circumference of one mile,
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λ§Œμ•½ λ‘˜λ ˆκ°€ 1마일인 원이 μžˆλ‹€λ©΄
02:56
that would work marvelously.
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κΈ°λ§‰νžŒ 해법이 되겠죠.
02:58
You could drive south a mile to reach it, make the one mile rotation east,
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남μͺ½μœΌλ‘œ 1마일 μ°¨λ₯Ό λͺ°κ³  κ°€μ„œ 동μͺ½μœΌλ‘œ 1마일 돈 λ‹€μŒμ—
03:02
then go north a mile to return to where you started.
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뢁μͺ½μœΌλ‘œ 1마일 κ°€μ„œ 좜발점으둜 λŒμ•„μ˜¬ 수 μžˆμŠ΅λ‹ˆλ‹€.
03:05
Such a circle does exist just north of the South Pole.
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μ΄λŸ¬ν•œ 원은 남극 λ°”λ‘œ 뢁μͺ½μ— μžˆμŠ΅λ‹ˆλ‹€.
03:10
To find your starting point,
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μΆœλ°œμ μ„ μ°ΎκΈ° μœ„ν•΄μ„œλŠ”
03:11
you can use the standard formula for the circumference of a circle.
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원 λ‘˜λ ˆμ— κ΄€ν•œ 곡식을 μ‚¬μš©ν•  수 μžˆμŠ΅λ‹ˆλ‹€.
03:15
If you wanted to be absolutely precise,
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λ§Œμ•½ μ ˆλŒ€μ μœΌλ‘œ μ •λ°€ν•˜κ²Œ ν•˜κ³  μ‹Άλ‹€λ©΄
03:18
you could use an equation that takes into account
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지ꡬ가 λŒ€λž΅ κ΅¬ν˜•μ΄λž€ 점을 κ°μ•ˆν•œ
03:20
the roughly spherical shape of the Earth.
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식을 μ‚¬μš©ν•  수 μžˆμŠ΅λ‹ˆλ‹€.
03:23
But an area this small is so close to being flat
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ν•˜μ§€λ§Œ μ΄λ ‡κ²Œ μž‘μ€ 면적은 μ•„μ£Ό ν‰ν‰ν•΄μ„œ,
03:26
that the standard formula gives a solution within a fraction of an inch
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κ·Έλƒ₯ ν‘œμ€€ 곡식을 μ‚¬μš©ν•˜λ”λΌλ„
μ‹€μ œ κ±°λ¦¬μ—μ„œ 차이가 1인치 이내인 ν•΄λ₯Ό 얻을 수 μžˆμŠ΅λ‹ˆλ‹€.
03:30
of the actual distance.
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03:32
A circle with a one mile circumference has a radius of just under 0.16 miles,
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λ‘˜λ ˆκ°€ 1마일인 μ›μ˜ λ°˜μ§€λ¦„μ€ 0.16λ§ˆμΌμ— λΆˆκ³Όν•˜λ―€λ‘œ,
03:39
so any point on the circle one mile north of that
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이 원 μœ„μ— μžˆλŠ” μ–΄λŠ μ μ—μ„œλ“  뢁μͺ½μœΌλ‘œ 1마일 떨어진 곳이
03:42
will be suitable for your time gate.
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νƒ€μž„κ²Œμ΄νŠΈ μœ„μΉ˜λ‘œ μ ν•©ν•©λ‹ˆλ‹€.
03:45
In fact, there are other answers too:
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사싀 λ‹€λ₯Έ 닡듀도 μžˆμŠ΅λ‹ˆλ‹€.
03:47
start a little further south,
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쑰금 더 남μͺ½μ—μ„œ μΆœλ°œν•΄μ„œ,
03:49
and you could travel east around the Earth twice, three times, or more!
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동μͺ½μœΌλ‘œ 두 바퀴, μ„Έ 바퀴, ν˜Ήμ€ κ·Έ 이상 λ„λŠ” 것이죠!
03:54
In theory, there are infinite possible starting points,
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이둠적으둜 κ°€λŠ₯ν•œ μΆœλ°œμ μ€ λ¬΄ν•œν•˜μ§€λ§Œ
03:57
but the circles get so tight that they aren't actually practical to drive.
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원이 λ„ˆλ¬΄ μž‘μ•„μ§€λ©΄ μš΄μ „ν•˜κΈ°μ— μ‹€μš©μ μ΄μ§€ μ•ŠμŠ΅λ‹ˆλ‹€.
04:01
Everything’s getting a little weird
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μΆœλ°œμ μ— λ‹€λ‹€λ₯Ό λ•Œμ―€μ—” λͺ¨λ“  게 μ‘°κΈˆμ”© μ΄μƒν•΄μ§‘λ‹ˆλ‹€.
04:04
by the time you reach your starting points.
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04:06
You drop the time gates, sync up with your doppelgΓ€nger,
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μ—¬λŸ¬λΆ„μ€ νƒ€μž„κ²Œμ΄νŠΈλ₯Ό 내렀놓고 λ„ν”Œκ°±μ–΄μ™€ λ™κΈ°ν™”ν•œ λ‹€μŒ
04:09
and slam down the pedal.
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νŽ˜λ‹¬μ„ 힘차게 λ°ŸμŠ΅λ‹ˆλ‹€.
04:11
You both reach 88mph just as you complete your three mile circuits,
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μ—¬λŸ¬λΆ„λ“€μ΄ 3마일 μš΄μ „μ„ 마칠 λ•Œ μ‹œμ† 88λ§ˆμΌμ— λ„λ‹¬ν•˜κ³ 
04:16
merge the timelines, and save the universe.
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μ‹œκ°„λŒ€λ₯Ό λ³‘ν•©ν•˜κ³  우주λ₯Ό κ΅¬ν•©λ‹ˆλ‹€.
이 μ›Ήμ‚¬μ΄νŠΈ 정보

이 μ‚¬μ΄νŠΈλŠ” μ˜μ–΄ ν•™μŠ΅μ— μœ μš©ν•œ YouTube λ™μ˜μƒμ„ μ†Œκ°œν•©λ‹ˆλ‹€. μ „ 세계 졜고의 μ„ μƒλ‹˜λ“€μ΄ κ°€λ₯΄μΉ˜λŠ” μ˜μ–΄ μˆ˜μ—…μ„ 보게 될 κ²ƒμž…λ‹ˆλ‹€. 각 λ™μ˜μƒ νŽ˜μ΄μ§€μ— ν‘œμ‹œλ˜λŠ” μ˜μ–΄ μžλ§‰μ„ 더블 ν΄λ¦­ν•˜λ©΄ κ·Έκ³³μ—μ„œ λ™μ˜μƒμ΄ μž¬μƒλ©λ‹ˆλ‹€. λΉ„λ””μ˜€ μž¬μƒμ— 맞좰 μžλ§‰μ΄ μŠ€ν¬λ‘€λ©λ‹ˆλ‹€. μ˜κ²¬μ΄λ‚˜ μš”μ²­μ΄ μžˆλŠ” 경우 이 문의 양식을 μ‚¬μš©ν•˜μ—¬ λ¬Έμ˜ν•˜μ‹­μ‹œμ˜€.

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