[Script Info] Title: [Events] Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text Dialogue: 0,0:00:06.28,0:00:07.80,Default,,0000,0000,0000,,Do you have a friend or a sibling Dialogue: 0,0:00:07.80,0:00:09.28,Default,,0000,0000,0000,,that's always competing with you Dialogue: 0,0:00:09.28,0:00:11.29,Default,,0000,0000,0000,,to see who's the fastest? Dialogue: 0,0:00:11.29,0:00:13.43,Default,,0000,0000,0000,,Our alien friends Bleebop and Mark Dialogue: 0,0:00:13.43,0:00:14.66,Default,,0000,0000,0000,,are having the same debate Dialogue: 0,0:00:14.66,0:00:16.35,Default,,0000,0000,0000,,with their custom-built rockets, Dialogue: 0,0:00:16.35,0:00:17.44,Default,,0000,0000,0000,,and they've asked us Dialogue: 0,0:00:17.44,0:00:20.19,Default,,0000,0000,0000,,to be the judge of a space race to their moon. Dialogue: 0,0:00:20.19,0:00:22.02,Default,,0000,0000,0000,,The only problem is that they are starting Dialogue: 0,0:00:22.02,0:00:23.65,Default,,0000,0000,0000,,from different asteroids. Dialogue: 0,0:00:23.65,0:00:27.29,Default,,0000,0000,0000,,Bleebop is on an asteroid 240 miles from the moon, Dialogue: 0,0:00:27.29,0:00:30.52,Default,,0000,0000,0000,,and Mark is on one 150 miles away. Dialogue: 0,0:00:30.52,0:00:32.82,Default,,0000,0000,0000,,Don't worry, it's not rocket science. Dialogue: 0,0:00:32.82,0:00:36.30,Default,,0000,0000,0000,,Solving this equation is as simple as DIRT. Dialogue: 0,0:00:36.30,0:00:37.74,Default,,0000,0000,0000,,We can decide who the winner is Dialogue: 0,0:00:37.74,0:00:41.25,Default,,0000,0000,0000,,using the D=RT formula, or DIRT. Dialogue: 0,0:00:41.25,0:00:44.75,Default,,0000,0000,0000,,This stands for distance equals rate times time. Dialogue: 0,0:00:44.75,0:00:46.65,Default,,0000,0000,0000,,In the case of Bleebop and Mark, Dialogue: 0,0:00:46.65,0:00:48.73,Default,,0000,0000,0000,,we will only know the distance they traveled Dialogue: 0,0:00:48.73,0:00:50.01,Default,,0000,0000,0000,,and the time it took for them Dialogue: 0,0:00:50.01,0:00:51.29,Default,,0000,0000,0000,,to get to the finish line. Dialogue: 0,0:00:51.29,0:00:52.97,Default,,0000,0000,0000,,It'll be up to us to find the rate Dialogue: 0,0:00:52.97,0:00:54.77,Default,,0000,0000,0000,,and who is faster. Dialogue: 0,0:00:54.77,0:00:56.21,Default,,0000,0000,0000,,Let's turn to the race now Dialogue: 0,0:00:56.21,0:00:57.94,Default,,0000,0000,0000,,and see what information we get. Dialogue: 0,0:00:58.61,0:00:59.57,Default,,0000,0000,0000,,Three, Dialogue: 0,0:00:59.57,0:01:00.65,Default,,0000,0000,0000,,two, Dialogue: 0,0:01:00.65,0:01:01.80,Default,,0000,0000,0000,,one, Dialogue: 0,0:01:01.80,0:01:03.19,Default,,0000,0000,0000,,blast off! Dialogue: 0,0:01:03.62,0:01:05.35,Default,,0000,0000,0000,,Bleebop and Mark's rockets go zipping Dialogue: 0,0:01:05.35,0:01:07.44,Default,,0000,0000,0000,,across the galaxy towards their moon, Dialogue: 0,0:01:07.44,0:01:08.90,Default,,0000,0000,0000,,dodging clunky meteorites Dialogue: 0,0:01:08.90,0:01:11.20,Default,,0000,0000,0000,,and loopy space buggies. Dialogue: 0,0:01:11.20,0:01:13.73,Default,,0000,0000,0000,,After a few close calls with a wandering satellite, Dialogue: 0,0:01:13.73,0:01:16.64,Default,,0000,0000,0000,,Mark arrives first in two hours, Dialogue: 0,0:01:16.64,0:01:19.36,Default,,0000,0000,0000,,and Bleebop gets there one hour later. Dialogue: 0,0:01:19.36,0:01:21.45,Default,,0000,0000,0000,,Looks like Mark has the faster rocket, Dialogue: 0,0:01:21.45,0:01:24.53,Default,,0000,0000,0000,,but let's check out the results with our DIRT equation. Dialogue: 0,0:01:24.53,0:01:26.57,Default,,0000,0000,0000,,Begin by setting up a chart. Dialogue: 0,0:01:26.57,0:01:28.69,Default,,0000,0000,0000,,Make four columns and three rows. Dialogue: 0,0:01:28.69,0:01:31.21,Default,,0000,0000,0000,,Use DIRT to remember what to fill in. Dialogue: 0,0:01:31.21,0:01:33.05,Default,,0000,0000,0000,,Each rocket will have information Dialogue: 0,0:01:33.05,0:01:35.52,Default,,0000,0000,0000,,for distance, rate, and time. Dialogue: 0,0:01:35.52,0:01:38.15,Default,,0000,0000,0000,,Mark's rocket went 150 miles, Dialogue: 0,0:01:38.15,0:01:39.50,Default,,0000,0000,0000,,we don't know the rate, Dialogue: 0,0:01:39.50,0:01:41.98,Default,,0000,0000,0000,,and he got there in 2 hours. Dialogue: 0,0:01:41.98,0:01:44.80,Default,,0000,0000,0000,,Bleebop's rocket went 240 miles, Dialogue: 0,0:01:44.80,0:01:45.92,Default,,0000,0000,0000,,we don't know the rate, Dialogue: 0,0:01:45.92,0:01:48.14,Default,,0000,0000,0000,,and the time is 1 hour after Mark, Dialogue: 0,0:01:48.14,0:01:49.76,Default,,0000,0000,0000,,or 3 hours. Dialogue: 0,0:01:49.76,0:01:52.34,Default,,0000,0000,0000,,Because we don't know Mark or Bleebop's rate, Dialogue: 0,0:01:52.34,0:01:54.14,Default,,0000,0000,0000,,that number is going to be a variable Dialogue: 0,0:01:54.14,0:01:55.21,Default,,0000,0000,0000,,in each equation, Dialogue: 0,0:01:55.21,0:01:57.43,Default,,0000,0000,0000,,which we'll represent with x. Dialogue: 0,0:01:57.43,0:01:58.26,Default,,0000,0000,0000,,We'll solve the equation Dialogue: 0,0:01:58.26,0:02:00.57,Default,,0000,0000,0000,,for the variable to find its value. Dialogue: 0,0:02:01.24,0:02:02.54,Default,,0000,0000,0000,,Mark finished first, Dialogue: 0,0:02:02.54,0:02:04.06,Default,,0000,0000,0000,,so start with his rocket. Dialogue: 0,0:02:04.06,0:02:07.42,Default,,0000,0000,0000,,Remembering DIRT, write down D=RT. Dialogue: 0,0:02:07.42,0:02:11.09,Default,,0000,0000,0000,,150 miles equals x times 2 hours. Dialogue: 0,0:02:11.09,0:02:13.60,Default,,0000,0000,0000,,Divide both sides by 2 hours. Dialogue: 0,0:02:13.60,0:02:15.13,Default,,0000,0000,0000,,This will leave x isolated Dialogue: 0,0:02:15.13,0:02:17.01,Default,,0000,0000,0000,,on the right side of the equation. Dialogue: 0,0:02:17.01,0:02:19.65,Default,,0000,0000,0000,,150 miles divided by 2 hours Dialogue: 0,0:02:19.65,0:02:22.45,Default,,0000,0000,0000,,is 75 miles over 1 hour. Dialogue: 0,0:02:22.45,0:02:25.18,Default,,0000,0000,0000,,Mark's rate is 75 miles per hour. Dialogue: 0,0:02:25.18,0:02:26.54,Default,,0000,0000,0000,,That's what mph means. Dialogue: 0,0:02:26.54,0:02:29.44,Default,,0000,0000,0000,,It's the amount of miles over one hour. Dialogue: 0,0:02:29.44,0:02:31.13,Default,,0000,0000,0000,,Still think Mark is faster? Dialogue: 0,0:02:31.13,0:02:34.41,Default,,0000,0000,0000,,Let's set up the same equation for Bleebop and see. Dialogue: 0,0:02:34.41,0:02:36.13,Default,,0000,0000,0000,,D=RT Dialogue: 0,0:02:36.13,0:02:39.97,Default,,0000,0000,0000,,240 miles equals x times 3 hours. Dialogue: 0,0:02:39.97,0:02:42.58,Default,,0000,0000,0000,,Divide both sides by 3 hours. Dialogue: 0,0:02:42.58,0:02:43.91,Default,,0000,0000,0000,,This will leave x isolated Dialogue: 0,0:02:43.91,0:02:46.75,Default,,0000,0000,0000,,on the right side of the equation. Dialogue: 0,0:02:46.75,0:02:49.08,Default,,0000,0000,0000,,240 miles divided by 3 hours Dialogue: 0,0:02:49.08,0:02:50.97,Default,,0000,0000,0000,,is 80 miles over 1 hour. Dialogue: 0,0:02:50.97,0:02:53.43,Default,,0000,0000,0000,,Bleebop's rate is 80 miles per hour. Dialogue: 0,0:02:53.43,0:02:56.32,Default,,0000,0000,0000,,Wow, even though Bleebop got there one hour later, Dialogue: 0,0:02:56.32,0:02:58.26,Default,,0000,0000,0000,,it turns out he had the faster rocket. Dialogue: 0,0:02:59.12,0:03:00.69,Default,,0000,0000,0000,,Mark seems pretty upset, Dialogue: 0,0:03:00.69,0:03:03.34,Default,,0000,0000,0000,,but with aliens, you can never really tell. Dialogue: 0,0:03:03.34,0:03:05.73,Default,,0000,0000,0000,,Thanks to DIRT, you now know how to calculate Dialogue: 0,0:03:05.73,0:03:06.35,Default,,0000,0000,0000,,distance, Dialogue: 0,0:03:06.35,0:03:06.81,Default,,0000,0000,0000,,rate, Dialogue: 0,0:03:06.81,0:03:07.72,Default,,0000,0000,0000,,and time. Dialogue: 0,0:03:07.72,0:03:08.99,Default,,0000,0000,0000,,In what other situations Dialogue: 0,0:03:08.99,0:03:11.27,Default,,0000,0000,0000,,can you use the distance formula? Dialogue: 0,0:03:11.27,0:03:13.58,Default,,0000,0000,0000,,You don't even need to be watching a space race. Dialogue: 0,0:03:13.58,0:03:15.76,Default,,0000,0000,0000,,As long as you know two pieces of information Dialogue: 0,0:03:15.76,0:03:18.02,Default,,0000,0000,0000,,for the formula D=RT, Dialogue: 0,0:03:18.02,0:03:21.03,Default,,0000,0000,0000,,you can calculate any moving vehicle or object. Dialogue: 0,0:03:21.03,0:03:23.76,Default,,0000,0000,0000,,Now, the next time you're in a car, Dialogue: 0,0:03:23.76,0:03:24.26,Default,,0000,0000,0000,,you can let your friends know Dialogue: 0,0:03:24.26,0:03:25.85,Default,,0000,0000,0000,,exactly when you'll be arriving, Dialogue: 0,0:03:25.85,0:03:27.46,Default,,0000,0000,0000,,how fast you're going, Dialogue: 0,0:03:27.46,0:03:28.68,Default,,0000,0000,0000,,or the distance you'll travel. Dialogue: 0,0:03:28.68,0:03:30.60,Default,,0000,0000,0000,,It's as simple as DIRT.