[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.68,0:00:01.88,Default,,0000,0000,0000,,I have some footage here.
Dialogue: 0,0:00:01.88,0:00:04.41,Default,,0000,0000,0000,,Of one of the most exciting moments in\Nsports history.
Dialogue: 0,0:00:04.41,0:00:08.52,Default,,0000,0000,0000,,And to make it even more exciting, the\Ncommentator is speaking in German.
Dialogue: 0,0:00:08.52,0:00:10.93,Default,,0000,0000,0000,,And I'm assuming that this is okay under\Nfair use
Dialogue: 0,0:00:10.93,0:00:14.32,Default,,0000,0000,0000,,because I'm really using it for a, a, a\Nmath problem.
Dialogue: 0,0:00:14.32,0:00:20.32,Default,,0000,0000,0000,,But I want you to watch this video and\Nthen I'll ask you a question about it.
Dialogue: 0,0:00:20.32,0:00:30.32,Default,,0000,0000,0000,,>> [FOREIGN]
Dialogue: 0,0:00:40.84,0:00:44.06,Default,,0000,0000,0000,,>> So you see it's exciting in any\Nlanguage that you might watch it.
Dialogue: 0,0:00:44.06,0:00:49.98,Default,,0000,0000,0000,,But my question to you is how fast was\NUssain Bolt going?
Dialogue: 0,0:00:49.98,0:00:54.58,Default,,0000,0000,0000,,What was his average speed when he ran\Nthat 100 meters right there?
Dialogue: 0,0:00:54.58,0:00:56.14,Default,,0000,0000,0000,,And I encourage you to watch.
Dialogue: 0,0:00:56.14,0:00:58.72,Default,,0000,0000,0000,,The video as many times as you need to do\Nit.
Dialogue: 0,0:00:58.72,0:01:00.70,Default,,0000,0000,0000,,And now I will give you a little bit of
Dialogue: 0,0:01:00.70,0:01:03.48,Default,,0000,0000,0000,,time to think about it, and then we will\Nsolve it.
Dialogue: 0,0:01:03.48,0:01:07.61,Default,,0000,0000,0000,,[BLANK_AUDIO]
Dialogue: 0,0:01:07.61,0:01:12.68,Default,,0000,0000,0000,,So we needed to figure out how fast was\NUssain Bolt going over the 100 meters.
Dialogue: 0,0:01:12.68,0:01:14.51,Default,,0000,0000,0000,,So we're really thinking about, in the\Ncase
Dialogue: 0,0:01:14.51,0:01:17.62,Default,,0000,0000,0000,,of this problem, average speed, or average\Nrate.
Dialogue: 0,0:01:17.62,0:01:20.15,Default,,0000,0000,0000,,And you might already be familiar with the\Nnotion.
Dialogue: 0,0:01:20.15,0:01:25.35,Default,,0000,0000,0000,,That distance, distance is equal to rate
Dialogue: 0,0:01:25.35,0:01:28.87,Default,,0000,0000,0000,,or speed, I'll just write rate, times\Ntime.
Dialogue: 0,0:01:28.87,0:01:33.12,Default,,0000,0000,0000,,I could write times like that, but once we\Nstart doing algebra, the traditional
Dialogue: 0,0:01:33.12,0:01:35.67,Default,,0000,0000,0000,,multiplication symbol can seem very\Nconfusing cuz
Dialogue: 0,0:01:35.67,0:01:37.91,Default,,0000,0000,0000,,it looks just like the variable x.
Dialogue: 0,0:01:37.91,0:01:40.44,Default,,0000,0000,0000,,So instead, I will write times like this.
Dialogue: 0,0:01:40.44,0:01:45.84,Default,,0000,0000,0000,,So distance is equal to rate The times is\Nequal to rate times time.
Dialogue: 0,0:01:45.84,0:01:48.25,Default,,0000,0000,0000,,And hopefully this makes some intuitive\Nsense for you.
Dialogue: 0,0:01:48.25,0:01:52.29,Default,,0000,0000,0000,,If your rate or your speed were ten meters\Nper second just as an
Dialogue: 0,0:01:52.29,0:01:56.14,Default,,0000,0000,0000,,example, that's not necessarily how fast\Nhe went, but if you went ten meters
Dialogue: 0,0:01:56.14,0:02:02.70,Default,,0000,0000,0000,,per second and if you were to do that for\NFor two seconds, for two seconds,
Dialogue: 0,0:02:02.70,0:02:07.19,Default,,0000,0000,0000,,seconds, then it should hopefully make\Nintuitive sense that you went 20 meters.
Dialogue: 0,0:02:07.19,0:02:10.77,Default,,0000,0000,0000,,You went ten meters per seconds for two\Nseconds.
Dialogue: 0,0:02:10.77,0:02:14.40,Default,,0000,0000,0000,,And it also works out mathematically, ten\Ntimes two is equal to 20.
Dialogue: 0,0:02:14.40,0:02:16.39,Default,,0000,0000,0000,,And then you have seconds in the
Dialogue: 0,0:02:16.39,0:02:18.70,Default,,0000,0000,0000,,denominator, and seconds up here in the\Nnumerator.
Dialogue: 0,0:02:18.70,0:02:20.27,Default,,0000,0000,0000,,I just wrote seconds here with an s.
Dialogue: 0,0:02:20.27,0:02:21.52,Default,,0000,0000,0000,,I wrote it out there.
Dialogue: 0,0:02:21.52,0:02:25.79,Default,,0000,0000,0000,,But they also cancel out, and you're just\Nleft with the, the units of meters.
Dialogue: 0,0:02:25.79,0:02:28.74,Default,,0000,0000,0000,,So you're just left with 20 meters.
Dialogue: 0,0:02:28.74,0:02:31.05,Default,,0000,0000,0000,,So hopefully this makes intuitive sense.
Dialogue: 0,0:02:31.05,0:02:33.72,Default,,0000,0000,0000,,With that out of the way, let's actually\Nthink about,
Dialogue: 0,0:02:33.72,0:02:37.29,Default,,0000,0000,0000,,let's actually think about the problem,\Nthe problem at hand.
Dialogue: 0,0:02:37.29,0:02:40.10,Default,,0000,0000,0000,,What information do we actually have?
Dialogue: 0,0:02:40.10,0:02:42.92,Default,,0000,0000,0000,,So we, do we have the distance?
Dialogue: 0,0:02:42.92,0:02:48.05,Default,,0000,0000,0000,,So, what is, what is the distance in the\Nvideo we just did?
Dialogue: 0,0:02:48.05,0:02:51.12,Default,,0000,0000,0000,,And I'll give you a second or two to think\Nabout it.
Dialogue: 0,0:02:51.12,0:02:53.56,Default,,0000,0000,0000,,[BLANK_AUDIO]
Dialogue: 0,0:02:53.56,0:02:56.13,Default,,0000,0000,0000,,Well, this race was 100 meters.
Dialogue: 0,0:02:56.13,0:02:58.93,Default,,0000,0000,0000,,So, the distance was 100.
Dialogue: 0,0:02:58.93,0:03:01.12,Default,,0000,0000,0000,,100 meters.
Dialogue: 0,0:03:01.12,0:03:02.30,Default,,0000,0000,0000,,Now, what else do we know?
Dialogue: 0,0:03:02.30,0:03:05.54,Default,,0000,0000,0000,,Well, we're trying to figure out the rate,\Nthat's what we're gonna figure out.
Dialogue: 0,0:03:05.54,0:03:09.80,Default,,0000,0000,0000,,What else do we know out of, out of this,\Nout of this equation over here?
Dialogue: 0,0:03:09.80,0:03:11.78,Default,,0000,0000,0000,,Well do we know the time?
Dialogue: 0,0:03:11.78,0:03:13.20,Default,,0000,0000,0000,,Do we know the time?
Dialogue: 0,0:03:13.20,0:03:18.27,Default,,0000,0000,0000,,What was the time that it took Ussain Bolt\Nto run the
Dialogue: 0,0:03:18.27,0:03:21.04,Default,,0000,0000,0000,,100 meters, and I'll give you another few\Nseconds to think about that.
Dialogue: 0,0:03:23.25,0:03:26.77,Default,,0000,0000,0000,,Well, luckily, they were timing the whole\Nthing, and they've not,
Dialogue: 0,0:03:26.77,0:03:29.02,Default,,0000,0000,0000,,and they've also showed that it's a, it's\Na world record.
Dialogue: 0,0:03:29.02,0:03:30.86,Default,,0000,0000,0000,,But this right over here is in seconds, is\Nhow
Dialogue: 0,0:03:30.86,0:03:33.46,Default,,0000,0000,0000,,long it took Usain Bolt to run the 100\Nmeters.
Dialogue: 0,0:03:33.46,0:03:40.78,Default,,0000,0000,0000,,It was 9.58, 9.58 seconds, and I'll just\Nwrite s for seconds.
Dialogue: 0,0:03:40.78,0:03:44.30,Default,,0000,0000,0000,,So given this information here what you\Nneed to attempt to do
Dialogue: 0,0:03:44.30,0:03:48.73,Default,,0000,0000,0000,,is now give us our rate in terms of meters\Nper second.
Dialogue: 0,0:03:48.73,0:03:51.88,Default,,0000,0000,0000,,I want you to think if you can figure out\Nthe rate in terms of meters per second.
Dialogue: 0,0:03:51.88,0:03:54.56,Default,,0000,0000,0000,,We know the distance and we know the time.
Dialogue: 0,0:03:57.24,0:04:00.89,Default,,0000,0000,0000,,Well, let's substitute these values into\Nthis equation right over here.
Dialogue: 0,0:04:00.89,0:04:02.60,Default,,0000,0000,0000,,We know the distance is 100 meters.
Dialogue: 0,0:04:03.68,0:04:06.05,Default,,0000,0000,0000,,The distance is 100 meters.
Dialogue: 0,0:04:06.05,0:04:10.86,Default,,0000,0000,0000,,And its equal to, we don't know the rate,\Nso I'll just write rate right over here.
Dialogue: 0,0:04:10.86,0:04:13.67,Default,,0000,0000,0000,,Its, and I'm going to write in that same\Ncolor.
Dialogue: 0,0:04:13.67,0:04:18.31,Default,,0000,0000,0000,,Its equal to rate, rate times, and what's\Nthe time?
Dialogue: 0,0:04:18.31,0:04:19.33,Default,,0000,0000,0000,,We do know the time.
Dialogue: 0,0:04:19.33,0:04:20.96,Default,,0000,0000,0000,,It's 9.58 seconds.
Dialogue: 0,0:04:20.96,0:04:25.39,Default,,0000,0000,0000,,9.58, 9.58 seconds.
Dialogue: 0,0:04:25.39,0:04:27.85,Default,,0000,0000,0000,,And we care about rate.
Dialogue: 0,0:04:27.85,0:04:30.07,Default,,0000,0000,0000,,We care about solving for rate.
Dialogue: 0,0:04:30.07,0:04:31.96,Default,,0000,0000,0000,,So how can we do that?
Dialogue: 0,0:04:31.96,0:04:33.75,Default,,0000,0000,0000,,Well, if you look at this right hand side
Dialogue: 0,0:04:33.75,0:04:37.52,Default,,0000,0000,0000,,of the equation, I have 9.58 seconds times\Nrate.
Dialogue: 0,0:04:37.52,0:04:41.61,Default,,0000,0000,0000,,If I were able to divide this right hand\Nside by 9.58 seconds, I'll just
Dialogue: 0,0:04:41.61,0:04:45.19,Default,,0000,0000,0000,,have rate on the right hand side, and\Nthat's what I want to solve for.
Dialogue: 0,0:04:45.19,0:04:46.84,Default,,0000,0000,0000,,So you say well wait why don't I just
Dialogue: 0,0:04:46.84,0:04:51.25,Default,,0000,0000,0000,,divide the right-hand side by 9.58\Nseconds, 9.58 seconds?
Dialogue: 0,0:04:51.25,0:04:56.87,Default,,0000,0000,0000,,Cuz if I did that the 9, the units cancel\Nout if we're doing
Dialogue: 0,0:04:56.87,0:05:00.30,Default,,0000,0000,0000,,dimensional analysis, don't worry too much\Nif that word doesn't make sense to you.
Dialogue: 0,0:05:00.30,0:05:03.18,Default,,0000,0000,0000,,But the units cancel out and the 9.58\Ncancel out.
Dialogue: 0,0:05:03.18,0:05:08.25,Default,,0000,0000,0000,,But I can't just divide one side of the\Nequation by a number.
Dialogue: 0,0:05:08.25,0:05:10.87,Default,,0000,0000,0000,,When we started off, this is equal to this\Nup here.
Dialogue: 0,0:05:10.87,0:05:14.78,Default,,0000,0000,0000,,If I divide it, if I divide the right side\Nby 9.58, in order for the
Dialogue: 0,0:05:14.78,0:05:19.71,Default,,0000,0000,0000,,equality To still be true, I needed to\Ndivide to left side by the same thing.
Dialogue: 0,0:05:19.71,0:05:22.22,Default,,0000,0000,0000,,So, I can't just divide the right side, I\Nhave to divide
Dialogue: 0,0:05:22.22,0:05:25.51,Default,,0000,0000,0000,,the left side in order for the quality to\Nstill be true.
Dialogue: 0,0:05:25.51,0:05:27.41,Default,,0000,0000,0000,,If I said, one thing is equal to another
Dialogue: 0,0:05:27.41,0:05:29.51,Default,,0000,0000,0000,,thing, and I divide the other thing by\Nsomething,
Dialogue: 0,0:05:29.51,0:05:30.82,Default,,0000,0000,0000,,in order for them to still be equal I
Dialogue: 0,0:05:30.82,0:05:33.29,Default,,0000,0000,0000,,have to divide the first thing by the same\Namount.
Dialogue: 0,0:05:33.29,0:05:36.23,Default,,0000,0000,0000,,So I divide by 9.58 seconds.
Dialogue: 0,0:05:36.23,0:05:38.54,Default,,0000,0000,0000,,So on our right hand side and this was the\Nwhole point.
Dialogue: 0,0:05:38.54,0:05:42.10,Default,,0000,0000,0000,,These two cancel out and then on the\Nleft-hand
Dialogue: 0,0:05:42.10,0:05:44.68,Default,,0000,0000,0000,,side, I'm left with a hundred divided by\N9.58.
Dialogue: 0,0:05:44.68,0:05:47.80,Default,,0000,0000,0000,,And my units are meters per second which\Nare the
Dialogue: 0,0:05:47.80,0:05:51.61,Default,,0000,0000,0000,,exact units that I want for rate or for\Nspeed.
Dialogue: 0,0:05:51.61,0:05:56.62,Default,,0000,0000,0000,,And so let's get the calculator out to\Ndivide 100 by 9.58.
Dialogue: 0,0:05:56.62,0:06:01.17,Default,,0000,0000,0000,,So I've got 100 meters, divided
Dialogue: 0,0:06:02.92,0:06:07.39,Default,,0000,0000,0000,,by 9.58 seconds, gives me 10 point, let's\Nsee.
Dialogue: 0,0:06:07.39,0:06:09.93,Default,,0000,0000,0000,,We've got about three significant digits\Nhere.
Dialogue: 0,0:06:09.93,0:06:11.92,Default,,0000,0000,0000,,So let's say, 10.4.
Dialogue: 0,0:06:11.92,0:06:16.38,Default,,0000,0000,0000,,So this gives us 10.4 and I'll right in\Nthe rate color.
Dialogue: 0,0:06:16.38,0:06:22.68,Default,,0000,0000,0000,,10, 10.4 and the units are meters per\Nsecond, meters,
Dialogue: 0,0:06:22.68,0:06:30.05,Default,,0000,0000,0000,,meters per second is equal to, is equal to\Nmy rate.
Dialogue: 0,0:06:30.05,0:06:32.29,Default,,0000,0000,0000,,Now, the next question, so we've got this\Nin meters per second
Dialogue: 0,0:06:32.29,0:06:35.62,Default,,0000,0000,0000,,but unfortunately meters per second is,\Nthey're not the, you know, when
Dialogue: 0,0:06:35.62,0:06:38.69,Default,,0000,0000,0000,,we drive a car, we don't see the, the\Nspeedometer in meters
Dialogue: 0,0:06:38.69,0:06:42.69,Default,,0000,0000,0000,,per second, we see either kilometers per\Nhour or miles per hour.
Dialogue: 0,0:06:42.69,0:06:47.82,Default,,0000,0000,0000,,So, the next task I, I have for you, is to\Nexpress this speed, or this rate.
Dialogue: 0,0:06:47.82,0:06:51.14,Default,,0000,0000,0000,,And this is his average speed, or his\Naverage rate, over the hundred meters.
Dialogue: 0,0:06:51.14,0:06:56.63,Default,,0000,0000,0000,,But to think about this in terms of\Nkilometers per, kilometers per hour.
Dialogue: 0,0:06:56.63,0:07:01.35,Default,,0000,0000,0000,,So try to figure out if you can, if you\Ncan rewrite this in kilometers per hour.
Dialogue: 0,0:07:04.44,0:07:06.45,Default,,0000,0000,0000,,Well let's just take this step by step.
Dialogue: 0,0:07:06.45,0:07:09.81,Default,,0000,0000,0000,,So, I'm gonna write, so let me just go\Ndown here, start over.
Dialogue: 0,0:07:09.81,0:07:15.30,Default,,0000,0000,0000,,So, I'm just, I started off with 10.4, and\NI'll write meters in blue, meters in
Dialogue: 0,0:07:15.30,0:07:20.78,Default,,0000,0000,0000,,blue, and seconds, seconds in magenta.
Dialogue: 0,0:07:20.78,0:07:24.33,Default,,0000,0000,0000,,Now, we wanna get the kilometers per hour,\NI know our meters per second.
Dialogue: 0,0:07:24.33,0:07:25.54,Default,,0000,0000,0000,,So let's take baby steps.
Dialogue: 0,0:07:25.54,0:07:30.42,Default,,0000,0000,0000,,Let's first think about it in terms of\Nkilometers per second.
Dialogue: 0,0:07:30.42,0:07:32.74,Default,,0000,0000,0000,,And I'll give you second to think about\Nwhat we
Dialogue: 0,0:07:32.74,0:07:35.74,Default,,0000,0000,0000,,would do to this, to turn this into\Nkilometers per second.
Dialogue: 0,0:07:37.84,0:07:40.40,Default,,0000,0000,0000,,Well, the intuition here, if I'm going\N10.4 meters
Dialogue: 0,0:07:40.40,0:07:45.28,Default,,0000,0000,0000,,per second, how many, how many kilometers\Nis 10.4 meters?
Dialogue: 0,0:07:45.28,0:07:50.32,Default,,0000,0000,0000,,Well, kilometers is a much larger unit of\Nmeasurement, it's 1000 times larger.
Dialogue: 0,0:07:50.32,0:07:53.77,Default,,0000,0000,0000,,So, 10.4 meters will be a much smaller\Nnumber of kilometers.
Dialogue: 0,0:07:53.77,0:07:57.25,Default,,0000,0000,0000,,And in particular, I'm gonna divide by\N1000.
Dialogue: 0,0:07:57.25,0:07:59.41,Default,,0000,0000,0000,,Another way to think about it, if you\Nwanna focus on the
Dialogue: 0,0:07:59.41,0:08:03.21,Default,,0000,0000,0000,,units, we wanna get rid of this meters and\Nwe want a kilometers.
Dialogue: 0,0:08:03.21,0:08:07.54,Default,,0000,0000,0000,,So, we wanted kilometers, and we wanna get\Nrid of these meters.
Dialogue: 0,0:08:07.54,0:08:09.40,Default,,0000,0000,0000,,So, if, if we had meters in the numerator,\Nwe
Dialogue: 0,0:08:09.40,0:08:12.51,Default,,0000,0000,0000,,could divide by meters here, and they\Nwould cancel out.
Dialogue: 0,0:08:12.51,0:08:14.16,Default,,0000,0000,0000,,But, the intuitive way to think about it\Nis, we're
Dialogue: 0,0:08:14.16,0:08:17.10,Default,,0000,0000,0000,,going from a smaller unit, meter, to a\Nlarger unit, kilometers.
Dialogue: 0,0:08:17.10,0:08:21.72,Default,,0000,0000,0000,,So, 10.4 meters is going to be a much\Nsmaller number of kilometers.
Dialogue: 0,0:08:21.72,0:08:25.55,Default,,0000,0000,0000,,But if we look at it this way, how many,\Nhow many meters are in one kilometer?
Dialogue: 0,0:08:25.55,0:08:29.43,Default,,0000,0000,0000,,One kilometer is equal to 1,000 meters.
Dialogue: 0,0:08:29.43,0:08:31.75,Default,,0000,0000,0000,,This right over here, 1 kilometer over\N1,000 meters.
Dialogue: 0,0:08:31.75,0:08:35.54,Default,,0000,0000,0000,,This is over 1 over 1, we're sent, we're\Nnot changing the fundamental value.
Dialogue: 0,0:08:35.54,0:08:38.04,Default,,0000,0000,0000,,We're essentially just multiplying it by\None.
Dialogue: 0,0:08:38.04,0:08:40.86,Default,,0000,0000,0000,,But when we do this, when we do this what\Ndo we get?
Dialogue: 0,0:08:40.86,0:08:43.82,Default,,0000,0000,0000,,Well, the meters cancel out, we're left\Nwith kilometers and
Dialogue: 0,0:08:43.82,0:08:48.36,Default,,0000,0000,0000,,seconds, and then the numbers you get 10.4\Ndivided by 1,000.
Dialogue: 0,0:08:48.36,0:08:53.44,Default,,0000,0000,0000,,10.4 divided by 1,000 is going to you, so\Nif you divide by 10,
Dialogue: 0,0:08:53.44,0:08:58.53,Default,,0000,0000,0000,,you're gonna get 1.04, you divide by 100,\Nyou get 0.104.
Dialogue: 0,0:08:58.53,0:09:07.29,Default,,0000,0000,0000,,You divide by 1000, you get 0.0104, so\Nthat's just 10.4 divided by 1000.
Dialogue: 0,0:09:07.29,0:09:12.100,Default,,0000,0000,0000,,And then our units are kilometers,\Nkilometers per second.
Dialogue: 0,0:09:12.100,0:09:18.86,Default,,0000,0000,0000,,So that's the kilometers And then I have\Nmy seconds right over here.
Dialogue: 0,0:09:18.86,0:09:21.04,Default,,0000,0000,0000,,Now, so let me write the equal sign.
Dialogue: 0,0:09:21.04,0:09:25.08,Default,,0000,0000,0000,,Now let's try to convert this to\Nkilometers per hour.
Dialogue: 0,0:09:25.08,0:09:27.72,Default,,0000,0000,0000,,And I'll give you a little bit of time to\Nthink about that one.
Dialogue: 0,0:09:29.72,0:09:35.33,Default,,0000,0000,0000,,Well, hours there's, there's 3,600 seconds\Nin an hour, so however many kilometers
Dialogue: 0,0:09:35.33,0:09:39.49,Default,,0000,0000,0000,,I do in a second, I'm gonna do 3,600 times\Nthat in an hour.
Dialogue: 0,0:09:39.49,0:09:41.78,Default,,0000,0000,0000,,And the units will also work out.
Dialogue: 0,0:09:41.78,0:09:43.29,Default,,0000,0000,0000,,If I'm going, I'm, right now.
Dialogue: 0,0:09:43.29,0:09:47.49,Default,,0000,0000,0000,,Well, if I do this many in a second, so\Nit's gonna be times 3600.
Dialogue: 0,0:09:47.49,0:09:50.08,Default,,0000,0000,0000,,There are 3600 seconds in an hour.
Dialogue: 0,0:09:50.08,0:09:52.16,Default,,0000,0000,0000,,3600 seconds in an hour.
Dialogue: 0,0:09:53.27,0:09:55.40,Default,,0000,0000,0000,,And another way to think about it is
Dialogue: 0,0:09:55.40,0:09:58.24,Default,,0000,0000,0000,,we want hours in the denominator, we had\Nseconds.
Dialogue: 0,0:09:58.24,0:10:00.30,Default,,0000,0000,0000,,So if we multiply by seconds per hour.
Dialogue: 0,0:10:00.30,0:10:02.43,Default,,0000,0000,0000,,There are 3600 seconds per hour.
Dialogue: 0,0:10:02.43,0:10:03.93,Default,,0000,0000,0000,,The seconds are going to cancel out and we
Dialogue: 0,0:10:03.93,0:10:06.40,Default,,0000,0000,0000,,are going to be left with hours in the\Ndenominator.
Dialogue: 0,0:10:06.40,0:10:09.50,Default,,0000,0000,0000,,So seconds cancel out and we're left with\Nkilometers per
Dialogue: 0,0:10:09.50,0:10:12.75,Default,,0000,0000,0000,,hour but now we have to multiply this\Nnumber times 3600.
Dialogue: 0,0:10:12.75,0:10:14.91,Default,,0000,0000,0000,,I'll get the calculator out for that.
Dialogue: 0,0:10:14.91,0:10:16.80,Default,,0000,0000,0000,,I'll get the calculator out for that.
Dialogue: 0,0:10:16.80,0:10:21.19,Default,,0000,0000,0000,,So we have, we have 0.0104, 0.0104 times\N3600, 3600 gives us 37.,
Dialogue: 0,0:10:21.19,0:10:26.65,Default,,0000,0000,0000,,I'll just stay 37.4 so this is equal to
Dialogue: 0,0:10:26.65,0:10:34.17,Default,,0000,0000,0000,,37.4, 37.4
Dialogue: 0,0:10:34.17,0:10:38.86,Default,,0000,0000,0000,,kilometers.
Dialogue: 0,0:10:39.98,0:10:45.08,Default,,0000,0000,0000,,Kilometers, kilometers per hour.
Dialogue: 0,0:10:45.08,0:10:48.39,Default,,0000,0000,0000,,Kilometers per hour.
Dialogue: 0,0:10:48.39,0:10:52.00,Default,,0000,0000,0000,,So that's his average speed in kilometers\Nper hour.
Dialogue: 0,0:10:52.00,0:10:55.32,Default,,0000,0000,0000,,And then, the last thing I wanna do, for\Nthose of you, for those of us in America.
Dialogue: 0,0:10:55.32,0:10:58.62,Default,,0000,0000,0000,,We'll convert into imperial units or\Nsometimes called English units.
Dialogue: 0,0:10:58.62,0:10:59.84,Default,,0000,0000,0000,,Which are ironically.
Dialogue: 0,0:10:59.84,0:11:03.40,Default,,0000,0000,0000,,Not necessarily used in UK, they tend to\Nbe used in America.
Dialogue: 0,0:11:03.40,0:11:07.36,Default,,0000,0000,0000,,So lets convert this into miles per hour\Nand the one thing I will tell you just in
Dialogue: 0,0:11:07.36,0:11:11.45,Default,,0000,0000,0000,,case you don't know is that their 1.61\Nkilometers
Dialogue: 0,0:11:11.45,0:11:15.21,Default,,0000,0000,0000,,is equal to 1 is equal to 1 mile.
Dialogue: 0,0:11:15.21,0:11:18.69,Default,,0000,0000,0000,,So I'll give you little bit of time to\Nconvert this into miles per hour.
Dialogue: 0,0:11:18.69,0:11:20.97,Default,,0000,0000,0000,,[BLANK_AUDIO]
Dialogue: 0,0:11:20.97,0:11:23.08,Default,,0000,0000,0000,,Well as you see from this, a mile is
Dialogue: 0,0:11:23.08,0:11:27.02,Default,,0000,0000,0000,,a slightly larger or reasonably larger\Nunit than a kilometer.
Dialogue: 0,0:11:27.02,0:11:30.64,Default,,0000,0000,0000,,So, if you're going 37.4 kilometers in a\Ncertain amount of time, you're
Dialogue: 0,0:11:30.64,0:11:33.89,Default,,0000,0000,0000,,gonna go slightly smaller amount of miles\Nin a certain amount of time.
Dialogue: 0,0:11:33.89,0:11:37.04,Default,,0000,0000,0000,,Or in particular, you're gonna divide by\N1.61.
Dialogue: 0,0:11:37.04,0:11:38.49,Default,,0000,0000,0000,,So let me rewrite it.
Dialogue: 0,0:11:38.49,0:11:44.74,Default,,0000,0000,0000,,If I have 37.4 kilometers per hour,\Nkilometers
Dialogue: 0,0:11:44.74,0:11:47.85,Default,,0000,0000,0000,,per hour, we're going to a larger unit.
Dialogue: 0,0:11:47.85,0:11:49.04,Default,,0000,0000,0000,,We're going to miles.
Dialogue: 0,0:11:49.04,0:11:51.80,Default,,0000,0000,0000,,So we're gonna divide by something larger\Nthan one.
Dialogue: 0,0:11:51.80,0:11:55.68,Default,,0000,0000,0000,,So we have one, we have one, let me right\Nit in blue.
Dialogue: 0,0:11:55.68,0:12:04.58,Default,,0000,0000,0000,,One mile, one mile is equal to, is equal\Nto 1.61 kilometers.
Dialogue: 0,0:12:04.58,0:12:07.92,Default,,0000,0000,0000,,Or you could say there's 1, 1.61 mile per\Nkilometer.
Dialogue: 0,0:12:07.92,0:12:10.04,Default,,0000,0000,0000,,And also once again works out with units.
Dialogue: 0,0:12:10.04,0:12:13.07,Default,,0000,0000,0000,,We wanna get rid of the kilometers in the\Nnumerator, so we would
Dialogue: 0,0:12:13.07,0:12:15.41,Default,,0000,0000,0000,,want it in the denominator and we want a\Nmile in the numerator.
Dialogue: 0,0:12:15.41,0:12:17.70,Default,,0000,0000,0000,,So that's why we have a mile in the\Nnumerator here.
Dialogue: 0,0:12:17.70,0:12:20.53,Default,,0000,0000,0000,,So let's once again multiply, or I guess\Nin this
Dialogue: 0,0:12:20.53,0:12:24.55,Default,,0000,0000,0000,,case we're dividing by 1.61 and we get, so\Nwe get.
Dialogue: 0,0:12:24.55,0:12:29.54,Default,,0000,0000,0000,,Let's just divide our previous value by\N1.61, 1.61,
Dialogue: 0,0:12:29.54,0:12:34.12,Default,,0000,0000,0000,,and we get 23, I'll just round up, 23.3.
Dialogue: 0,0:12:34.12,0:12:39.36,Default,,0000,0000,0000,,This is equal to 23.3, 23.
Dialogue: 0,0:12:39.36,0:12:48.51,Default,,0000,0000,0000,,23.3 and then we have miles, miles, miles\Nper hour.
Dialogue: 0,0:12:48.51,0:12:54.57,Default,,0000,0000,0000,,20 miles per hour, which is obviously very\Nfast, he's the fastest
Dialogue: 0,0:12:54.57,0:12:57.62,Default,,0000,0000,0000,,human But it's not maybe as fast as you\Nmight have imagined.
Dialogue: 0,0:12:57.62,0:13:00.53,Default,,0000,0000,0000,,You know, in the car 23.3 miles per hour\Ndoesn't seem so
Dialogue: 0,0:13:00.53,0:13:02.57,Default,,0000,0000,0000,,fast, and especially relative to the
Dialogue: 0,0:13:02.57,0:13:05.66,Default,,0000,0000,0000,,animal world, it's not particularly\Nnoteworthy.
Dialogue: 0,0:13:05.66,0:13:08.90,Default,,0000,0000,0000,,This is actually slightly slower than a\Ncharging elephant.
Dialogue: 0,0:13:08.90,0:13:12.87,Default,,0000,0000,0000,,Charging elephants have been clocked at 25\Nmiles per hour.