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数学 大学生・専門学校生・社会人

位置を2回微分すると、加速度になるんですか?

1OROY m m 0 0 9(t) 図1 単調和振動子。 復元力 F はF= ーky(t) であるとする.ここでk>0はバネ定数と呼ばれる与 えられた物理量である. ニュートンの法則(カ=質量× 加速度) を適用すると, ーky(t) =D my" (t) が得られる。ただしy" という記号でyのtに関する 2階導関数を表すものとす る。c= Vk/m とおくと, この2階常微分方程式は g"(t) +c9(t) =D0 となる。方程式(1) の一般解は, a, b を任意定数として 9(t) = a cos ct+bsinct により与えられる。明らかに, この形の関数はすべて方程式 (1) の解になってい る。そしてこの形の解のみがこの微分方程式の 2回微分可能な解になっている。 その証明の概略は練習6で述べる。 上述の y(t) を表す式のなかで, cは与えられた定数であるが, a, bはどのよ うな実数でもかまわない. この方程式の特別な解を決める場合, 二つの未知定数 a, b を考慮に入れた二つの初期条件を課さねばならない. たとえば物体の最初の 位置 y(0) と初期速度 y/'(0) が与えられれば, 物理的な問題の解は一意的となり, y(0) sin ct 9(t) = y(0) cos ct + C により与えられる. 容易にわかることであるが, ある定数 A>0と φERで, a cos ct + bsin ct = Acos (ct - 4) をみたすものが存在する. 上に述べた物理的な解釈に基づいて, A= Va? +6? をこの運動の「振幅」 cを「固有振動数」 (aを「位相| (これは ?Tの整数倍

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英語 高校生

英語に自信がある人回答づくりお願いします! ※書き込みは気にしないでください。 これプラス、問題に続きがあって、 問5 本文には、実物の動物を見ることによって人々がより深く理解できることが3つ書かれています。それらを日本語で答えなさい。 問6 本文には、動物園... 続きを読む

第4問 次の英文を読んで、 設問に答えなさい。①~6は段落番号です。 黒体 6) のIn my view, (1)it_is perfectly possible for many species of animals living in gon.. ie parks to have a quality of life as high as, or higher than, in the wild. 'Animals in ood z0os get a varied and high-quality diet with all the supplements required. and anv 1pesses they might have will be treated.Their movement might be somewhat restricted. mt they have a safe environment in which to live, and they are spared bullying and social 神年 predators*2 or the irritation and pain of parasites or injuries. The average captive animal racism*1 by others of their kind. They do not suffer from the threat or stress of will have a greater life expectancy compared with its wild counterpart, and will not die of drought, of starvation or in the jaws of a predator. Alot of very nasty things happen to truly wild' animals that simply don't happen in good zoos, and to view a life that is 'free' as 術保者一 one that is automatically ‘good' is, I think, an error. Furthermore, zoos serve several key purposes. の Firstly, zoos aid conservation. Colossal numbers of species are becoming extinct across the world, and many more are increasingly threatened and therefore risk extinction. Moreover, some of these collapses have been sudden, dramatic and unexpected, or were simply discovered very late in the day. Aspecies protected in captivity can be bred up to provide a reservoir*3 population against a population crash or extinction in the wild. A good number of species only exist in captivity, with many ofthese livinginzoos. Stillmore only exist in the wildbecause they have been reintroduced from zoos, or have wild populations that have been1o0osted by captive bred animals Without (2these efforts there would be fewer species alive today. Although reintroduction successes are few and far between*4, the numbers are increasing, and the very fact that species have been saved or reintroduced as a result of captive breeding proves the value of such initiatives. ③ Zoos alsoprovide education. Many children and adults, especially those in cities, will never see a wild animal beyond a fox or pigeon. While it is true that television documentaries are becoming ever more detailed and impressive, and many natural history specimens are on display in museums, there really is nothing to compare with seeinga living creature in the flesh*5, hearing it, smelling it, watching what it does and having the time to absorb details. That alone will bring a greater understanding and perspective to many, and hopefully give them a greater appreciation for wildlife, conservation efforts and how they can contribute. ④ Inaddition to this, there isalsothe education that cantake place in Z0Osthrough signs, talks and presentations which directly communicate information to visitors about the animals they are seeing and their place in the world. This was an area where zoos used to be lacking, but they are now increasingly sophisticated in their communication and 8.

回答募集中 回答数: 0
英語 高校生

英語に自信がある人回答づくりお願いします! ※書き込みは気にしないでください。 これプラス、問題に続きがあって、 問5 本文には、実物の動物を見ることによって人々がより深く理解できることが3つ書かれています。それらを日本語で答えなさい。 問6 本文には、動物園... 続きを読む

第4問 次の英文を読んで、 設問に答えなさい。①~6は段落番号です。 黒体 6) のIn my view, (1)it_is perfectly possible for many species of animals living in gon.. ie parks to have a quality of life as high as, or higher than, in the wild. 'Animals in ood z0os get a varied and high-quality diet with all the supplements required. and anv 1pesses they might have will be treated.Their movement might be somewhat restricted. mt they have a safe environment in which to live, and they are spared bullying and social 神年 predators*2 or the irritation and pain of parasites or injuries. The average captive animal racism*1 by others of their kind. They do not suffer from the threat or stress of will have a greater life expectancy compared with its wild counterpart, and will not die of drought, of starvation or in the jaws of a predator. Alot of very nasty things happen to truly wild' animals that simply don't happen in good zoos, and to view a life that is 'free' as 術保者一 one that is automatically ‘good' is, I think, an error. Furthermore, zoos serve several key purposes. の Firstly, zoos aid conservation. Colossal numbers of species are becoming extinct across the world, and many more are increasingly threatened and therefore risk extinction. Moreover, some of these collapses have been sudden, dramatic and unexpected, or were simply discovered very late in the day. Aspecies protected in captivity can be bred up to provide a reservoir*3 population against a population crash or extinction in the wild. A good number of species only exist in captivity, with many ofthese livinginzoos. Stillmore only exist in the wildbecause they have been reintroduced from zoos, or have wild populations that have been1o0osted by captive bred animals Without (2these efforts there would be fewer species alive today. Although reintroduction successes are few and far between*4, the numbers are increasing, and the very fact that species have been saved or reintroduced as a result of captive breeding proves the value of such initiatives. ③ Zoos alsoprovide education. Many children and adults, especially those in cities, will never see a wild animal beyond a fox or pigeon. While it is true that television documentaries are becoming ever more detailed and impressive, and many natural history specimens are on display in museums, there really is nothing to compare with seeinga living creature in the flesh*5, hearing it, smelling it, watching what it does and having the time to absorb details. That alone will bring a greater understanding and perspective to many, and hopefully give them a greater appreciation for wildlife, conservation efforts and how they can contribute. ④ Inaddition to this, there isalsothe education that cantake place in Z0Osthrough signs, talks and presentations which directly communicate information to visitors about the animals they are seeing and their place in the world. This was an area where zoos used to be lacking, but they are now increasingly sophisticated in their communication and 8.

回答募集中 回答数: 0
英語 高校生

英語に自信がある人回答づくりお願いします! ※書き込みは気にしないでください。 これプラス、問題に続きがあって、 問5 本文には、実物の動物を見ることによって人々がより深く理解できることが3つ書かれています。それらを日本語で答えなさい。 問6 本文には、動物園... 続きを読む

第4問 次の英文を読んで、 設問に答えなさい。①~6は段落番号です。 黒体 6) のIn my view, (1)it_is perfectly possible for many species of animals living in gon.. ie parks to have a quality of life as high as, or higher than, in the wild. 'Animals in ood z0os get a varied and high-quality diet with all the supplements required. and anv 1pesses they might have will be treated.Their movement might be somewhat restricted. mt they have a safe environment in which to live, and they are spared bullying and social 神年 predators*2 or the irritation and pain of parasites or injuries. The average captive animal racism*1 by others of their kind. They do not suffer from the threat or stress of will have a greater life expectancy compared with its wild counterpart, and will not die of drought, of starvation or in the jaws of a predator. Alot of very nasty things happen to truly wild' animals that simply don't happen in good zoos, and to view a life that is 'free' as 術保者一 one that is automatically ‘good' is, I think, an error. Furthermore, zoos serve several key purposes. の Firstly, zoos aid conservation. Colossal numbers of species are becoming extinct across the world, and many more are increasingly threatened and therefore risk extinction. Moreover, some of these collapses have been sudden, dramatic and unexpected, or were simply discovered very late in the day. Aspecies protected in captivity can be bred up to provide a reservoir*3 population against a population crash or extinction in the wild. A good number of species only exist in captivity, with many ofthese livinginzoos. Stillmore only exist in the wildbecause they have been reintroduced from zoos, or have wild populations that have been1o0osted by captive bred animals Without (2these efforts there would be fewer species alive today. Although reintroduction successes are few and far between*4, the numbers are increasing, and the very fact that species have been saved or reintroduced as a result of captive breeding proves the value of such initiatives. ③ Zoos alsoprovide education. Many children and adults, especially those in cities, will never see a wild animal beyond a fox or pigeon. While it is true that television documentaries are becoming ever more detailed and impressive, and many natural history specimens are on display in museums, there really is nothing to compare with seeinga living creature in the flesh*5, hearing it, smelling it, watching what it does and having the time to absorb details. That alone will bring a greater understanding and perspective to many, and hopefully give them a greater appreciation for wildlife, conservation efforts and how they can contribute. ④ Inaddition to this, there isalsothe education that cantake place in Z0Osthrough signs, talks and presentations which directly communicate information to visitors about the animals they are seeing and their place in the world. This was an area where zoos used to be lacking, but they are now increasingly sophisticated in their communication and 8.

回答募集中 回答数: 0