Let’s quickly go over what each of these variables are. The \(x\) and \(y\) position changes along the path, with \(x_0\) and \(y_0\) marking the starting point.įor every projectile motion problem we’ll have a set of variables in each direction. This is because the motion in the \(x\) and \(y\) components are independent of each other.įor example, at every point along the path of motion here, there is a velocity in the \(x\) direction and a velocity in the \(y\) direction. When we’re working with projectile motion, we are dealing with vectors like velocity and acceleration, which we break up into the \(x\) and \(y\) components. You’ll want to determine your starting point, end point, and the path of travel. Even an approximation can be helpful in visualizing the situation. One of the easiest ways to deal with 2D projectile motion is to just analyze the motion in each direction separately. The horizontal and vertical motions may be separated and described by the general motion equations for constant acceleration. Is all of the motion vertical, like an object falling to the ground? Or is the object launched or thrown at some angle? It helps to draw out the trajectory if it isn’t already given to you. The motion of an object under the influence of gravity is determined completely by the acceleration of gravity, its launch speed, and launch angle provided air friction is negligible. In other words, we will use one set of equations to describe the horizontal motion of the lime, and another set of equations to describe the vertical motion of the lime. In other words, consider the direction the object is moving. One of the easiest ways to deal with 2D projectile motion is to just analyze the motion in each direction separately. When you begin a projectile motion problem, the first thing you’ll have to do is think about the trajectory of the object. Our ability to predict these values depends on the information we have about the scenario. Projectile motion is the motion of an object subject only to the acceleration of gravity, where the acceleration is constant, as near the surface of Earth. ![]() With physics, it’s possible to predict things like where the object will land and the amount of time it will take for the object to reach the ground. Projectile motion occurs any time an object is thrown or launched into the air and falls back to the ground. Hi, and welcome to this video on projectile motion! Today, we’ll discuss what projectile motion is and break down some important concepts.
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Less than a decade after a spate of record-breaking condo towers reached new heights in New York, the first reports of defects and complaints are beginning to emerge, raising concerns that some of the construction methods and materials used have not lived up to the engineering breakthroughs that only recently enabled 1,000-foot-high trophy apartments. The Downside to Life in a Supertall Tower: Leaks, Creaks, BreaksĤ32 Park, one of the wealthiest addresses in the world, faces some significant design problems, and other luxury high-rises may share its fate. ![]() Let's just hope that all of the remaining main characters make it through Season 3 alive, okay?! But who knows - with so much time to wait until Season 3's premiere, Sam Levinson might just decide to up the stakes even more. 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If the input file has black borders and its aspect ratio is not 4/3 or 16/9 you have to remove the black border and consider the 'real' resolution and the 'real' aspect ratio. Otherwise there is an intermediate step required. This is fine and good if the input does not have black borders or if the input file has exactly the aspect ratio of 4/3 or 16/9. While the resolution is 512x368 it is not possible to encode it in a 704x576 PAL DVD or 704x480 NTSC DVD. In this example the ratio is 1.39:1 - that is quite similar to 4/3 (as is 1.333:1). Which gives you the aspect ratio and the resolution. Movie-Aspect is 1.39:1 - prescaling to correct movie aspect. You might consider options like -ss, -endpos or -chapter. Play you input movie with mplayer, ensure that mplayer plays exactly what you want to put in the DVD. In order to decide ratio and resolution you must know the resolution of your input movie. The NTSC standard gives you two kinds of frame rate while PAL provides only one.ĭepending of the country you live in, you have to decide between NTSC or PAL. This table shows the real resolution and how the player displays it. The codec is Mpeg-2.ĭVDs do not use square pixels, the pixels are rectangular: while the movie has a certain resolution the player has to display it as if it were deforming the pixels. The two standards also have different frame ratios. The aspect ratio can be '16/9' or '4/3', the available resolutions change if you are making a PAL or a NTSC DVD. Standard compliant DVD videos have a well-defined and precise video requirement. If you are changing the sampling rate and you think the audio quality is poor you can try to add the argument -af resample=48000::2: doing so mplayer will use its most precise algorithm. Using both commands, we will have two files, one per audio track. oac lavc -lavcopts acodec=ac3:abitrate=128 -o italian_audio.ac3 $ mencoder movie.mov -alang it -ovc frameno -of rawaudio -srate 48000 -channels 2 \ oac lavc -lavcopts acodec=ac3:abitrate=384 -o english_audio.ac3 $ mencoder movie.mov -alang en -ovc frameno -of rawaudio -srate 48000 -channels 6 \ Usually ac3 uses 64 or 96 kbps per audio channel. If the audio track it is not an acceptable ac3 file then you have to encode it. $ mencoder movie.mov -alang en -ovc frameno -of rawaudio -oac copy \ If your input file already has an ac3 encoded audio track (with an acceptable bitrate, sample rate and frame rate) you should not encode it again. Selected audio codec: afm: liba52 (AC3-liba52) In order to know your input file audio codec, you can use mplayer, here is an example of a file with a fine audio track:ĪUDIO: 48000 Hz, 6 ch, s16le, 448.0 kbit/9.72% (ratio: 56000->576000) While the heavy constraints of the video makes it almost impossible to find a video track without need of encoding, it is fairly common to find files with an ac3 track. The audio and video total bitrate cannot be greater than 9800 kbps so every audio track reduces the bitrate for the video, but it should not be a problem since a maximum of 8264 kbps (9800 - 1536) of video bitrate is enough. ![]() You can have mono, stereo or 5.1 audio tracks. ![]() A DVD video can have up to 1536 kbps of audio information, but for each audio track the limit is 448 kbps. The audio tracks are encoded using the Dolby Surround AC-3 Digital codec with a sample rate of 48000Hz. If the disk includes more than one movie, you can select one using the chapter function of the DVD player. We will begin by creating a simpleĭVD that autostarts when put in the DVD player, without any menu. Definition of the DVD contentįor this example, every movie on the DVD has one video track, at least one audio track, and possibly includes subtitles. The point of this article is to summarize most of the available knowledge in only one place. However, most of those pages focus on one aspect of this process. Why another article about this process? There is a plethora of articles, man pages, and blog entries about how to convert any movie to a standard DVD Video viewable on any hardware DVD player. ![]() Main Characteristics of Burkina Fasoīurkina Faso, a country of happy people, is known as the music center of West Africa with its traditional music and percussion instruments. ![]() It is surrounded by Benin in the south, Côte d’Ivoire, Ghana, and Togo, in the north and west of Mali, Niger in the northeast. It is located to the west of the African continent. Neighboring Countries of Burkina Faso Neighboring Countries of Burkina Faso Three equal horizontal banded black-and-white-red flags created from the Black Volta River, the White Volta River and the Red Volta River, which are the three branches of the Volta River, which the country used to name in 1960 when it gained its independence from France under the name of Upper Volta, in 1983, was replaced by a coup d’état against the government. From 1984 to 1997, the official Burkina Faso coat of arms was used along with a digging of the Soviet AK-47 assault rifle, as well as a book with an open book symbolizing the importance of education and training of revolutionary principles. When Upper Volta was transformed into Burkina Faso on August 4, 1984, the flag was also changed. The Upper Volta Flag was similar to the three-color flags used by the German Empire from 1871 to 1918. These colors represented the three major branches of the Volta River flowing south of the country: Black Volta, White Volta, and Red Volta. The first flag of Burkina Faso consisted of three horizontal lines, black, white and red as the flag of Upper Volta. The yellow five-pointed star in the middle of the flag symbolizes the democratic popular revolution.īurkina Faso Flag Map History of the Burkina Faso Flag The red symbolizes the country’s fertile land, while the red, which divides the flag into two equal parts horizontally, symbolizes the blood that flows during the revolution and the nation that loses its life. The flag of Burkina Faso consists of Pan-African colors with red, green and yellow colors. The national cloth made up of woven strips of cotton or silk was called faso dan fani (this will be the subject for another post).Įnjoy this video, and travel to Burkina Faso, the land of the upright people.Colors and the Meaning of the Burkina Faso Flag Sankara was then addressed as the PF or the President of the Faso. Thus, Thomas used three of the main languages in his country to choose a name that was truly representative of the country and its people. The people of the country are known as the Burkinabé, where the suffix ‘bé’ comes from the Foufouldé language spoken by the Peulh people (a tribe found in many countries across West Africa), and means ‘men or women’. Thus the Burkina Faso is ‘ the land of upright people‘ or ‘ the land of honest people‘. Burkinafrom Mòoré means ‘ men of integrity‘, while Fasoin Diouala means ‘ fatherland‘. He chose two names after two main languages of the country: the Moore (or Mossi language) and the Dioula. Well, on 4 August 1984, Thomas Sankara, with his usual charisma and revolutionary spirit, decided to change the country’s name to Burkina Faso. No wonder the name needed to change, as it had no real meaning! Thomas Sankara a Ouagadougou The Volta river also flew into Ghana, which was never known as the ‘Lower Volta’. Since the river had three tributaries: the Black Volta, the white Volta, and the red Volta, Upper Volta’s flag also had those three colors. Thus Upper Volta was named for the region above the Volta river flowing in the area the people of that country/area where thus known as the ‘Voltaics’ ( Voltaiques in French). Originally, Haute Volta or Upper Volta, was just given by the European colonizer, the French, more as an indicator or geographic pointer, and had no real attachment to the people of that region themselves. ![]() Burkina and then Faso? or even simply two names in its history: Upper Volta and then Burkina Faso? Well, the country named Upper Volta was given a new name in 1984 by then President Thomas Sankara, who chose the name Burkina Faso. Have you ever wondered about the name of the country Burkina Faso? Why would a country have two names, i.e. |