A trip through space to calculate distance - Heather Tunnell

Putovanje kroz svemir da bi se izračunala udaljenost - Heder Tanel (Heather Tunnell)

155,159 views

2013-09-06 ・ TED-Ed


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A trip through space to calculate distance - Heather Tunnell

Putovanje kroz svemir da bi se izračunala udaljenost - Heder Tanel (Heather Tunnell)

155,159 views ・ 2013-09-06

TED-Ed


Please double-click on the English subtitles below to play the video.

Prevodilac: Mile Živković Lektor: Anja Saric
Imate li prijatelja, brata ili sestru
00:06
Do you have a friend or a sibling
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00:07
that's always competing with you
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koji se uvek takmiče sa vama
00:09
to see who's the fastest?
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da vide ko je najbrži?
00:11
Our alien friends Bleebop and Mark
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Naši prijatelji vanzemaljci, Blibop i Mark,
00:13
are having the same debate
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imaju istu raspravu
00:14
with their custom-built rockets,
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sa njihovim posebno rađenim raketama
00:16
and they've asked us
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i pitali su nas
00:17
to be the judge of a space race to their moon.
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da budemo sudije u svemirskoj trci do njihovog meseca.
00:20
The only problem is that they are starting
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Jedini problem je što kreću
00:22
from different asteroids.
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sa različitih asteroida.
00:23
Bleebop is on an asteroid 240 miles from the moon,
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Blibop je na asteroidu udaljenom 390 kilometara od meseca,
00:27
and Mark is on one 150 miles away.
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a Mark je udaljen 240 kilometara.
00:30
Don't worry, it's not rocket science.
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Ne brinite, nije neka nauka.
00:32
Solving this equation is as simple as DIRT.
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Rešavanje ove jednačine je prosto kao pasulj.
00:36
We can decide who the winner is
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Pobednika možemo dobiti
00:37
using the D=RT formula, or DIRT.
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koristeći formulu D=RT, iliti DIRT.
00:41
This stands for distance equals rate times time.
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To znači da je udaljenost jednaka brzini pomnoženoj sa vremenom.
00:44
In the case of Bleebop and Mark,
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Kod Blibopa i Marka,
00:46
we will only know the distance they traveled
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znaćemo samo udaljenost koju su proputovali
00:48
and the time it took for them
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i vreme koje im je bilo
00:50
to get to the finish line.
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potrebno da dođu do cilja.
00:51
It'll be up to us to find the rate
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Na nama je da pronađemo brzinu
00:52
and who is faster.
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i ko je brži.
00:54
Let's turn to the race now
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Hajde da vidimo trku
00:56
and see what information we get.
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i informacije koje ćemo dobiti.
00:58
Three,
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Tri,
00:59
two,
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dva,
01:00
one,
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jedan,
01:01
blast off!
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krećemo!
01:03
Bleebop and Mark's rockets go zipping
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Rakete Blibopa i Marka jurcaju
01:05
across the galaxy towards their moon,
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preko galaksije do njihovog meseca,
01:07
dodging clunky meteorites
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izbegavajući krupne meteorite
01:08
and loopy space buggies.
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i zalutalo svemirsko kamenje.
01:11
After a few close calls with a wandering satellite,
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Nakon nekoliko bliskih susreta sa zalutalim satelitom,
01:13
Mark arrives first in two hours,
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Mark dolazi prvi za dva sata
01:16
and Bleebop gets there one hour later.
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a Blibop dolazi sat vremena kasnije.
01:19
Looks like Mark has the faster rocket,
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Čini se da Mark ima bržu raketu,
01:21
but let's check out the results with our DIRT equation.
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ali hajde da rezultate proverimo našom DIRT jednačinom.
01:24
Begin by setting up a chart.
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Krećemo sa tabelom.
01:26
Make four columns and three rows.
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Napravićemo četiri kolone i tri reda.
01:28
Use DIRT to remember what to fill in.
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Koristite DIRT da zapamtite šta gde da upišete.
01:31
Each rocket will have information
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Svaka raketa će imati informacije
01:33
for distance, rate, and time.
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za udaljenost, brzinu i vreme.
01:35
Mark's rocket went 150 miles,
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Markova raketa je išla 240 kilometara,
01:38
we don't know the rate,
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ne znamo brzinu,
01:39
and he got there in 2 hours.
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i stigao je za dva sata.
01:41
Bleebop's rocket went 240 miles,
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Blibopova raketa išla je 390 kilometara,
01:44
we don't know the rate,
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ne znamo brzinu,
01:45
and the time is 1 hour after Mark,
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i vreme je sat nakon Markovog,
01:48
or 3 hours.
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to jest, tri sata.
01:49
Because we don't know Mark or Bleebop's rate,
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Pošto ne znamo brzine za Marka i Blibopa,
01:52
that number is going to be a variable
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taj broj će biti varijabla
01:54
in each equation,
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u svakoj jednačini,
01:55
which we'll represent with x.
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koju predstavljamo sa X.
01:57
We'll solve the equation
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Jednačinu ćemo rešiti
01:58
for the variable to find its value.
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kako bi otkrili vrednost varijable.
Mark je prvi završio,
02:01
Mark finished first,
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02:02
so start with his rocket.
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pa počinjemo s njegovom raketom.
02:04
Remembering DIRT, write down D=RT.
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Sećamo se DIRT-a i pišemo D=RT.
02:07
150 miles equals x times 2 hours.
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240km jednako je X puta dva sata.
02:11
Divide both sides by 2 hours.
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Podelite obe strane sa dva sata.
02:13
This will leave x isolated
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Ovako ćemo izolovati X
02:15
on the right side of the equation.
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sa desne strane jednačine.
02:17
150 miles divided by 2 hours
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240 kilometara podeljeno sa dva sata
02:19
is 75 miles over 1 hour.
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je 120 kilometara za jedan sat.
02:22
Mark's rate is 75 miles per hour.
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Markova brzina je 120 kilometara na čas.
02:25
That's what mph means.
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To znači km/h.
02:26
It's the amount of miles over one hour.
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Količina kilometara po jednom satu.
02:29
Still think Mark is faster?
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Još mislite da je Mark brži?
02:31
Let's set up the same equation for Bleebop and see.
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Uradimo istu jednačinu za Blibopa pa ćemo videti.
02:34
D=RT
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D=RT,
02:36
240 miles equals x times 3 hours.
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390 kilometara jednako je X puta 3 sata.
02:39
Divide both sides by 3 hours.
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Podelimo obe strane sa 3 sata.
02:42
This will leave x isolated
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Ovim ćemo izolovati X
02:43
on the right side of the equation.
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sa desne strane jednačine.
02:46
240 miles divided by 3 hours
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390 kilometara podeljeno na 3 sata
02:49
is 80 miles over 1 hour.
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je 130 kilometara za jedan sat.
02:50
Bleebop's rate is 80 miles per hour.
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Blibopova stopa je 130 kilometara na sat.
02:53
Wow, even though Bleebop got there one hour later,
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Vau, iako je Blibop stigao sat vremena kasnije,
02:56
it turns out he had the faster rocket.
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ispostavlja se da on ima bržu raketu.
Čini se da je Mark prilično uznemiren,
02:59
Mark seems pretty upset,
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03:00
but with aliens, you can never really tell.
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ali sa vanzemaljcima se nikad ne zna.
03:03
Thanks to DIRT, you now know how to calculate
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Zahvaljujući DIRT-u, sada znate kako da izračunate
03:05
distance,
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udaljenost,
03:06
rate,
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03:06
and time.
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brzinu
i vreme.
03:07
In what other situations
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U kojim drugim situacijama
03:08
can you use the distance formula?
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možete koristiti formulu za daljinu?
03:11
You don't even need to be watching a space race.
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Čak ne morate ni da gledate svemirsku trku.
03:13
As long as you know two pieces of information
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Dok god imate dve informacije
03:15
for the formula D=RT,
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za formulu D=RT,
03:18
you can calculate any moving vehicle or object.
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možete izračunati vrednosti za bilo koji predmet ili vozilo.
03:21
Now, the next time you're in a car,
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Sledeći put kad budete u kolima,
možete svojim prijateljima reći
03:23
you can let your friends know
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03:24
exactly when you'll be arriving,
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tačno kada ćete stići,
03:25
how fast you're going,
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koliko brzo idete
03:27
or the distance you'll travel.
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ili udaljenost koju ćete preći.
03:28
It's as simple as DIRT.
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Prosto kao pasulj.
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