Questões - AFA 2021 | Gabarito e resoluções

(AFA - 2021) A partir do instante t0= 0, uma partcula com velocidade inicial v0 uniformemente acelerada. No instante t, a acelerao cessa e a partcula passa a se movimentar com velocidade constante v. Do instante 2t ao instante 4t, uma nova acelerao constante atua sobre a partcula, de tal forma que, ao final desse intervalo, sua velocidade vale -v. Nessas condies, a velocidade mdia da partcula, no intervalo de 0 a 4t, igual a

(AFA - 2021 - Modelo C - Questo 17) Fevereiro de 2020 destacou-se por uma quantidade expressiva de chuva em quase todo o territrio nacional. Entre os duas 08 e 14, foram registradas significativas concentraes de chuvas na regio Sudeste do Brasil. A atuao da Zona de Convergncia do Atlntico Sul (ZCAS), do Vrtice Ciclnico de Altos Nveis (VCAN), da Zona de Convergncia Intertropical (ZCIT), combinadas com a termodinmica, proporcionaram reas de instabilidades, favorecendo acumulados de chuvas significativos. No grfico a seguir, esto destacadas algumas cidades do Sudeste e a quantidade acumulada de chuva no perodo acima mencionado. Para uma melhor visualizao e comparao dos dados acima, foi construdo um grfico de setores. Considerexo ngulo central correspondente cidade de Barueri no grfico de setores. Em relao ax correto afirmar que

(AFA - 2021) The End of life on Earth It weighted about 10,000 tons, entered the atmosphere at a speed of 64,000 km/h and exploded over a city with a blast of 500 kilotons. But on 15 February 2013, we were lucky. The meteorite that 5showered pieces of rock over Chelyabinsk, Russia, was relatively small, at only about 17 metres wide. Although many people were injured by falling glass, the damage was nothing compared to what had happened in Siberia neraly one hundred years ago, when a relatively small 10 object (approximately 50 metres in diameter) exploded in mid-air over a forest region, flattening about 80 million trees. If it had exploded over a city such as Moscow or London, millions of people would have been killed. By a strange coincidence, the same day that the 15 meteorite terrified the people of Chelyabinsk, another 50m-wide asteroid passed relatively close to Earth. Scientists were expecting that visit and know that the asteroid will return to fly close by us in 2046, but the Russian meteorite earlier in the day had been too small 20 for anyone to spot. Most scientists agree that comets and asteroids pose the biggest natural threat to human existence. It was probably a large asteroid or comet collinding with Earth which wiped out the dinosaurs about 65 million 25years ago. An enormous object, 10 to 16 km in diameter, struck the Yucatan region in Mexico with the force of 100 megatons. That is the equivalent of one Hiroshima bomb for every peerson alive on Earth today. Many scientists, including the late Stephen 30Hawking, say that any comet or asteroid greater than 20km in diameter that hits Earth will result in the complete destruction of complex life, including all animals and most plants. As we have seen even a much smaller asteroid can cause great damage. 35The Earth has been kept fairly safe for the last 65 million years by good fortune and the massive gravitational field of the planet Jupiter. Our cosmic guardian, with its stable circular orbit far from the sun, sweeps up and scatters away most of the dangerous 40comets and asteroids which might cross Earths orbit. After the Chelyabinsk meteorite, scientists are now monitoring potential hazards even more carefully but, as far as they know, there is no danger in the foreseeable future. 45Types of space rocks Comet - a ball of rock and ice that sends out a tail of gas and dust behind it. Bright comets only appear in our visible night sky about once every ten years. Asteroid - a rock a few feet to several kms in 50diameter. Unlike comets, asteroids have no tail. Most are to small to cause any damage and burn up in the atmosphere. Meteoroid - part of an asteroid or comet. Meteorite - what a meteoroid is called when it 55hits Earth. Taken from: http://learningenglishteens.britishcouncil.org - Access on 29/06/2020 The damage caused by the Russian meteorite

(AFA - 2021 - Modelo C - Questo 18) Em uma aula de topografia, o professor queria medir a largura de um rio. Para tal, ele tomou dois pontos A e B em uma margem do rio e outro ponto C na marem oposto , de modo que o segmentoficasse perpendicular ao segmento, como indicado na figura a seguir. Considere que: a distncia entre os pontos A e B de 30m; os ngulos agudos epodem ser obtidos atravs da equao , na qual x = 2 uma das razes; e A largura aproximada do rio, em m, igual a

QUESTO ANULADA!! Selecione a alternativa C e v para a prxima. (AFA - 2021 - Modelo C - Questo 34) The End of life on Earth It weighted about 10,000 tons, entered the atmosphere at a speed of 64,000 km/h and exploded over a city with a blast of 500 kilotons. But on 15 February 2013, we were lucky. The meteorite that 5showered pieces of rock over Chelyabinsk, Russia, was relatively small, at only about 17 metres wide. Although many people were injured by falling glass, the damage was nothing compared to what had happened in Siberia neraly one hundred years ago, when a relatively small 10object (approximately 50 metres in diameter) exploded in mid-air over a forest region, flattening about 80 million trees. If it had exploded over a city such as Moscow or London, millions of people would have been killed. By a strange coincidence, the same day that the 15meteorite terrified the people of Chelyabinsk, another 50m-wide asteroid passed relatively close to Earth. Scientists were expecting that visit and know that the asteroid will return to fly close by us in 2046, but the Russian meteorite earlier in the day had been too small 20for anyone to spot. Most scientists agree that comets and asteroids pose the biggest natural threat to human existence. It was probably a large asteroid or comet collinding with Earth which wiped out the dinosaurs about 65 million 25years ago. An enormous object, 10 to 16 km in diameter, struck the Yucatan region in Mexico with the force of 100 megatons. That is the equivalent of one Hiroshima bomb for every peerson alive on Earth today. Many scientists, including the late Stephen 30Hawking, say that any comet or asteroid greater than 20km in diameter that hits Earth will result in the complete destruction of complex life, including all animals and most plants. As we have seen even a much smaller asteroid can cause great damage. 35The Earth has been kept fairly safe for the last 65 million years by good fortune and the massive gravitational field of the planet Jupiter. Our cosmic guardian, with its stable circular orbit far from the sun, sweeps up and scatters away most of the dangerous 40comets and asteroids which might cross Earths orbit. After the Chelyabinsk meteorite, scientists are now monitoring potential hazards even more carefully but, as far as they know, there is no danger in the foreseeable future. 45Types of space rocks Comet - a ball of rock and ice that sends out a tail of gas and dust behind it. Bright comets only appear in our visible night sky about once every ten years. Asteroid - a rock a few feet to several kms in 50diameter. Unlike comets, asteroids have no tail. Most are to small to cause any damage and burn up in the atmosphere. Meteoroid - part of an asteroid or comet. Meteorite - what a meteoroid is called when it 55hits Earth. Taken from: http://learningenglishteens.britishcouncil.org - Access on 29/06/2020 Without changing the meaning, the word although (line 6) could be substituted for:

(AFA - 2021 - Modelo C - Questo 19) Para construir um viaduto, a prefeitura de uma cidadae precisar desaproprir alguns locais de uma determinada quadra da cidade. Para identificar o que precisar ser desapropriado, fez-se um esboo da planta dessa quadra no qual os locais foram representados em um plano cartesiano e nomeados de A1at A10conforme a figura a seguir. O viaduto estar representado pela regio compreendida entre as retas de equaes: e Um local ser inteiramente desapropriado se o viaduto passar por qualquer trecho de seu territrio. Se cada unidade do plano no esboo da planta equivale a 10m na situao real, ento a rea total dos locais dessa quadra que precisar ser desapropriada, em m2, igual a

(AFA - 2021) The End of life on Earth It weighted about 10,000 tons, entered the atmosphere at a speed of 64,000 km/h and exploded over a city with a blast of 500 kilotons. But on 15 February 2013, we were lucky. The meteorite that 5showered pieces of rock over Chelyabinsk, Russia, was relatively small, at only about 17 metres wide. Although many people were injured by falling glass, the damage was nothing compared to what had happened in Siberia neraly one hundred years ago, when a relatively small 10object (approximately 50 metres in diameter) exploded in mid-air over a forest region, flattening about 80 million trees. If it had exploded over a city such as Moscow or London, millions of people would have been killed. By a strange coincidence, the same day that the 15meteorite terrified the people of Chelyabinsk, another 50m-wide asteroid passed relatively close to Earth. Scientists were expecting that visit and know that the asteroid will return to fly close by us in 2046, but the Russian meteorite earlier in the day had been too small 20for anyone to spot. Most scientists agree that comets and asteroids pose the biggest natural threat to human existence. It was probably a large asteroid or comet collinding with Earth which wiped out the dinosaurs about 65 million 25years ago. An enormous object, 10 to 16 km in diameter, struck the Yucatan region in Mexico with the force of 100 megatons. That is the equivalent of one Hiroshima bomb for every peerson alive on Earth today. Many scientists, including the late Stephen 30Hawking, say that any comet or asteroid greater than 20km in diameter that hits Earth will result in the complete destruction of complex life, including all animals and most plants. As we have seen even a much smaller asteroid can cause great damage. 35The Earth has been kept fairly safe for the last 65 million years by good fortune and the massive gravitational field of the planet Jupiter. Our cosmic guardian, with its stable circular orbit far from the sun, sweeps up and scatters away most of the dangerous 40comets and asteroids which might cross Earths orbit. After the Chelyabinsk meteorite, scientists are now monitoring potential hazards even more carefully but, as far as they know, there is no danger in the foreseeable future. 45Types of space rocks Comet - a ball of rock and ice that sends out a tail of gas and dust behind it. Bright comets only appear in our visible night sky about once every ten years. Asteroid - a rock a few feet to several kms in 50diameter. Unlike comets, asteroids have no tail. Most are to small to cause any damage and burn up in the atmosphere. Meteoroid - part of an asteroid or comet. Meteorite - what a meteoroid is called when it 55hits Earth. Taken from: http://learningenglishteens.britishcouncil.org - Access on 29/06/2020 The statement many people were injured by falling glass (line 7) stands for Falling glass _____________ many people.

(AFA - 2021 - Modelo C - Questo 20) No grfico,e a curva representa a funo No polgono ABCD, a soma, em unidade de medida, igual a

(AFA - 2021) The End of life on Earth It weighted about 10,000 tons, entered the atmosphere at a speed of 64,000 km/h and exploded over a city with a blast of 500 kilotons. But on 15 February 2013, we were lucky. The meteorite that 5showered pieces of rock over Chelyabinsk, Russia, was relatively small, at only about 17 metres wide. Although many people were injured by falling glass, the damage was nothing compared to what had happened in Siberia neraly one hundred years ago, when a relatively small 10object (approximately 50 metres in diameter) exploded in mid-air over a forest region, flattening about 80 million trees. If it had exploded over a city such as Moscow or London, millions of people would have been killed. By a strange coincidence, the same day that the 15meteorite terrified the people of Chelyabinsk, another 50m-wide asteroid passed relatively close to Earth. Scientists were expecting that visit and know that the asteroid will return to fly close by us in 2046, but the Russian meteorite earlier in the day had been too small 20for anyone to spot. Most scientists agree that comets and asteroids pose the biggest natural threat to human existence. It was probably a large asteroid or comet collinding with Earth which wiped out the dinosaurs about 65 million 25years ago. An enormous object, 10 to 16 km in diameter, struck the Yucatan region in Mexico with the force of 100 megatons. That is the equivalent of one Hiroshima bomb for every peerson alive on Earth today. Many scientists, including the late Stephen 30Hawking, say that any comet or asteroid greater than 20km in diameter that hits Earth will result in the complete destruction of complex life, including all animals and most plants. As we have seen even a much smaller asteroid can cause great damage. 35The Earth has been kept fairly safe for the last 65 million years by good fortune and the massive gravitational field of the planet Jupiter. Our cosmic guardian, with its stable circular orbit far from the sun, sweeps up and scatters away most of the dangerous 40comets and asteroids which might cross Earths orbit. After the Chelyabinsk meteorite, scientists are now monitoring potential hazards even more carefully but, as far as they know, there is no danger in the foreseeable future. 45Types of space rocks Comet - a ball of rock and ice that sends out a tail of gas and dust behind it. Bright comets only appear in our visible night sky about once every ten years. Asteroid - a rock a few feet to several kms in 50diameter. Unlike comets, asteroids have no tail. Most are to small to cause any damage and burn up in the atmosphere. Meteoroid - part of an asteroid or comet. Meteorite - what a meteoroid is called when it 55hits Earth. Taken from: http://learningenglishteens.britishcouncil.org - Access on 29/06/2020 The passage the damage was nothing compared to what had happened in Siberia nearly one hundred years ago(lines 7 to 9) states that the incident occured __________ a century ago.

(AFA - 2021 - Modelo C - Questo 21) Seja D o conjunto domnio mais amplo da funo real e o conjunto soluo da inequao. O conjunto

(AFA - 2021) The End of life on Earth It weighted about 10,000 tons, entered the atmosphere at a speed of 64,000 km/h and exploded over a city with a blast of 500 kilotons. But on 15 February 2013, we were lucky. The meteorite that 5showered pieces of rock over Chelyabinsk, Russia, was relatively small, at only about 17 metres wide. Although many people were injured by falling glass, the damage was nothing compared to what had happened in Siberia neraly one hundred years ago, when a relatively small 10object (approximately 50 metres in diameter) exploded in mid-air over a forest region, flattening about 80 million trees. If it had exploded over a city such as Moscow or London, millions of people would have been killed. By a strange coincidence, the same day that the 15meteorite terrified the people of Chelyabinsk, another 50m-wide asteroid passed relatively close to Earth. Scientists were expecting that visit and know that the asteroid will return to fly close by us in 2046, but the Russian meteorite earlier in the day had been too small 20for anyone to spot. Most scientists agree that comets and asteroids pose the biggest natural threat to human existence. It was probably a large asteroid or comet collinding with Earth which wiped out the dinosaurs about 65 million 25years ago. An enormous object, 10 to 16 km in diameter, struck the Yucatan region in Mexico with the force of 100 megatons. That is the equivalent of one Hiroshima bomb for every peerson alive on Earth today. Many scientists, including the late Stephen 30Hawking, say that any comet or asteroid greater than 20km in diameter that hits Earth will result in the complete destruction of complex life, including all animals and most plants. As we have seen even a much smaller asteroid can cause great damage. 35The Earth has been kept fairly safe for the last 65 million years by good fortune and the massive gravitational field of the planet Jupiter. Our cosmic guardian, with its stable circular orbit far from the sun, sweeps up and scatters away most of the dangerous 40comets and asteroids which might cross Earths orbit. After the Chelyabinsk meteorite, scientists are now monitoring potential hazards even more carefully but, as far as they know, there is no danger in the foreseeable future. 45Types of space rocks Comet - a ball of rock and ice that sends out a tail of gas and dust behind it. Bright comets only appear in our visible night sky about once every ten years. Asteroid - a rock a few feet to several kms in 50diameter. Unlike comets, asteroids have no tail. Most are to small to cause any damage and burn up in the atmosphere. Meteoroid - part of an asteroid or comet. Meteorite - what a meteoroid is called when it 55hits Earth. Taken from: http://learningenglishteens.britishcouncil.org - Access on 29/06/2020 The Siberian meteorite

(AFA - 2021) The End of life on Earth It weighted about 10,000 tons, entered the atmosphere at a speed of 64,000 km/h and exploded over a city with a blast of 500 kilotons. But on 15 February 2013, we were lucky. The meteorite that 5showered pieces of rock over Chelyabinsk, Russia, was relatively small, at only about 17 metres wide. Although many people were injured by falling glass, the damage was nothing compared to what had happened in Siberia neraly one hundred years ago, when a relatively small 10object (approximately 50 metres in diameter) exploded in mid-air over a forest region, flattening about 80 million trees. If it had exploded over a city such as Moscow or London, millions of people would have been killed. By a strange coincidence, the same day that the 15meteorite terrified the people of Chelyabinsk, another 50m-wide asteroid passed relatively close to Earth. Scientists were expecting that visit and know that the asteroid will return to fly close by us in 2046, but the Russian meteorite earlier in the day had been too small 20for anyone to spot. Most scientists agree that comets and asteroids pose the biggest natural threat to human existence. It was probably a large asteroid or comet collinding with Earth which wiped out the dinosaurs about 65 million 25years ago. An enormous object, 10 to 16 km in diameter, struck the Yucatan region in Mexico with the force of 100 megatons. That is the equivalent of one Hiroshima bomb for every peerson alive on Earth today. Many scientists, including the late Stephen 30Hawking, say that any comet or asteroid greater than 20km in diameter that hits Earth will result in the complete destruction of complex life, including all animals and most plants. As we have seen even a much smaller asteroid can cause great damage. 35The Earth has been kept fairly safe for the last 65 million years by good fortune and the massive gravitational field of the planet Jupiter. Our cosmic guardian, with its stable circular orbit far from the sun, sweeps up and scatters away most of the dangerous 40comets and asteroids which might cross Earths orbit. After the Chelyabinsk meteorite, scientists are now monitoring potential hazards even more carefully but, as far as they know, there is no danger in the foreseeable future. 45Types of space rocks Comet - a ball of rock and ice that sends out a tail of gas and dust behind it. Bright comets only appear in our visible night sky about once every ten years. Asteroid - a rock a few feet to several kms in 50diameter. Unlike comets, asteroids have no tail. Most are to small to cause any damage and burn up in the atmosphere. Meteoroid - part of an asteroid or comet. Meteorite - what a meteoroid is called when it 55hits Earth. Taken from: http://learningenglishteens.britishcouncil.org - Access on 29/06/2020 If it had exploded over a city such as Moscow or London, millions of people would have been killed(lines 12 and 13). We can conclude from the information in this passage that

(AFA - 2021) Um sistema massa-mola composto de uma mola ideal de constante elstica k e de um recipiente, de volume interno V e massa desprezvel, que totalmente preenchido com um lquido homogneo X de densidade constante e desconhecida. Verifica-se que, ao se colocar esse primeiro sistema para oscilar, seu perodo de oscilao se iguala ao perodo de oscilao de um segundo sistema, formado de um pndulo simples de comprimento L e massa m. Considere que os dois sistemas oscilam em movimento harmnico simples em um local em que a acelerao gravitacional vale g; e que o recipiente preenchido pelo lquido comporte-se como uma massa pontual. Nessas condies, a densidade do lquido X pode ser expressa por

(AFA - 2021 - Modelo C - Questo 23) Considere no plano deArgando Gaussos nmeros complexos z = x + yi, em quexeyso nmeros reais e, tais que correto afirmar que os pontos P(x,y), afixos dez, podem formar um

(AFA - 2021) The End of life on Earth It weighted about 10,000 tons, entered the atmosphere at a speed of 64,000 km/h and exploded over a city with a blast of 500 kilotons. But on 15 February 2013, we were lucky. The meteorite that 5showered pieces of rock over Chelyabinsk, Russia, was relatively small, at only about 17 metres wide. Although many people were injured by falling glass, the damage was nothing compared to what had happened in Siberia neraly one hundred years ago, when a relatively small 10object (approximately 50 metres in diameter) exploded in mid-air over a forest region, flattening about 80 million trees. If it had exploded over a city such as Moscow or London, millions of people would have been killed. By a strange coincidence, the same day that the 15meteorite terrified the people of Chelyabinsk, another 50m-wide asteroid passed relatively close to Earth. Scientists were expecting that visit and know that the asteroid will return to fly close by us in 2046, but the Russian meteorite earlier in the day had been too small 20for anyone to spot. Most scientists agree that comets and asteroids pose the biggest natural threat to human existence. It was probably a large asteroid or comet collinding with Earth which wiped out the dinosaurs about 65 million 25years ago. An enormous object, 10 to 16 km in diameter, struck the Yucatan region in Mexico with the force of 100 megatons. That is the equivalent of one Hiroshima bomb for every peerson alive on Earth today. Many scientists, including the late Stephen 30Hawking, say that any comet or asteroid greater than 20km in diameter that hits Earth will result in the complete destruction of complex life, including all animals and most plants. As we have seen even a much smaller asteroid can cause great damage. 35The Earth has been kept fairly safe for the last 65 million years by good fortune and the massive gravitational field of the planet Jupiter. Our cosmic guardian, with its stable circular orbit far from the sun, sweeps up and scatters away most of the dangerous 40comets and asteroids which might cross Earths orbit. After the Chelyabinsk meteorite, scientists are now monitoring potential hazards even more carefully but, as far as they know, there is no danger in the foreseeable future. 45Types of space rocks Comet - a ball of rock and ice that sends out a tail of gas and dust behind it. Bright comets only appear in our visible night sky about once every ten years. Asteroid - a rock a few feet to several kms in 50diameter. Unlike comets, asteroids have no tail. Most are to small to cause any damage and burn up in the atmosphere. Meteoroid - part of an asteroid or comet. Meteorite - what a meteoroid is called when it 55hits Earth. Taken from: http://learningenglishteens.britishcouncil.org - Access on 29/06/2020 On the same day as the meteorite exploded over Chelyabinsk,