(5)の、オレンジの線のところがなぜ-gtになるかが分かりません💦

※15.(自由落下と斜方投射)右の図のように, 点0から水平距 離1の所に点Bがあり、その真上高さ んの所に点Aがある. 小球 h Pをvoの速さで点0から点Aに向けて打ち出すと同時に, 点A から小球Qを初速度0で落下させた. そのときの時刻をt3D0, 重力加速度の大きさをgとする. 次の問いに答えよ. 小球Q (1) 図のようにエ-y 軸をとり, 時刻さにおけるPおよびQ V0 の座標を求めよ、ただし, tはPとQが衝突する前の時刻と 小球P する。 (2) 小球Pがェ=lを通るときの時刻を求めよ. (3) (2)のときのPおよびQの座標を求めよ. (4) 点Bより上でPがQに衝突するためには, Voをいくらより大きくしなければならないか。 (5) 衝突する前の時刻さにおけるQに対するPの相対速度の大きさはいくらか.

一枚目の写真の回答がわからないです全て 教えてください

bkao bib yotth 日 A Reading for main ideas: Choose the best answer. 1. What is the main idea of the passage? The development of the role of caddies. ⑤ The fighting spirit necessary for athletes. © The friendship between a golfer and a caddy. Yabluos od b tol i 6haahgot 2. Bruce Edwards changed cxthetoag the way people saw caddies b his career from a golfer to a caddy greoya0 Sregnig © golf courses so that golfers could play safely B Reading for details : Fill in the blanks with the words in the box below. There are som unnecessary words. Then divide the paragraphs into the following sections. There was a very (1. ) caddy called Bruce Edwards. 1 After Bruce (2. ) from high school, he started to work for Tom Watson as a caddy. 2 Caddies used to just carry the golf bag for golfers, but Bruce always (3. 3 condition of the course. ) the Bruce was also not afraid to (4. )with the golfer. 4 After many (b. ), Watson wanted to play less, so Bruce decided to work for Greg Norman. 5 6 Bruce missed Watson, and he decided to return to Watson after three years、 (6. 7 After they started to play together again, Bruce began to have some (7. ) problems. 8 Bruce was (8. ) with ALS, but he continued to caddy for Watson. Both Watson and Bruce (9. ) at the US Open. 9 10 Watson and Bruce knew this could be their last time together in the (10. Watson asked for (11. 11 (12. ) to do more research on ALS, and Bruce was very ) for having someone like Watson with him. Paragraph Organization Introduction Words en aih g) Becoming Watson's caddy ( Separation and reunion Deadly diagnosis The last chance together in the spotlight ( diagnosed / disagree / examined funding / special/ sorrow separation / health / spotlight thankful / graduated victories / weaker / appeared へ へ Epilogue へ

わかりにくいですが、最後の段から4つ目にある波線は何を指していますか？

9blido yasM 15、9 The lists provided about 2,500 names, and after the war she Part 4 > oung1ojun/ap T0 ( tried to reunite the children with their families. Most of the nen line parents, however, had been gassed in the death camps. 10 Her life and work were not known for a long time. tra However, a group of American schoolgirls in Kansas happened Ma gp odt soft 1udoda 201> to find out about her, and they wrote a play called Life in a Jar fo. gdb yo in 2000.(It was performed more than 200 times in the US and also in manyother countries. 1 Although the play was successful, Irena was not very happy. She said, “We are not some kind of heroes. That term 25 irritates me greatly. The opposite is true; I continue to regretmal that I did so little. I could have done more. This regret will follow me to my death." B Q&A」 eevi」 10-12 bli

302の(4)なんですが解答の整理してに続く式変形がわかりません。

;>0であるから 解答編 23 =(Cosa - sina}-3+4(1+cosasina)} =(Cosa - sina X1+4sinacosa) =(cosa - sinaX1+2sin2a)=右辺 sin xcosェ 2cosエ +1)=D0 sin x=0 または cosエ=0 整理して ゆえに =2 または COSI= 1 1 301 cos'a = 0<x<2x であるから 1+ tan?a 1+? エ=0, エ 2.2 ー22 sin x=0 のとき 4 したがって 3 sin 2a =2sinacosa =2tanacosa.cosa COSI=0 のとき 1 1 2t =2tanacos?a=2t- 1+? COST=-のとき = 1+22 であるから 1+? cos2a = 2cos?a-1 したがって、解は -2-1= 1-? 1+? エ=0, 。 の 1+? 2 ら 302 (1) cos2.x =cos x から 303 (1) cos2x<sinx から COSa =- 1-2sinェ<sinx 2sin'ェ+ sinxー1>0 (sinx+12sinェー1)>0 2cos?x-1=cosx よって 2cos?x-cos x-1=0 よって 1 ゆえに (cosx -1(2coSx +1)=0 ゆえに ¥5 V5 -1 1 V5 +1 V5 sinx+120 であるから したがって cosx =1, -。 sinx+1キ0 かつ 2sinェ-1>0 e s 00 0<x<2x であるから よって sinxキー1 かつ sinx>- cosx =1 のとき x=0 (15-1) 1) 1 sinx>う 2 4 4 のとき すなわち COSX = ー a コら tanラ 2 4 したがって, 解は ズ=0,, 0<x<2x であるから、解は くく (2) cos2x2cosェから 2cos'ェー1Ncos'x cos"ェ-120 V5-1 (2) sin 2x =cosx から 2sin xcos x = coSx よって cosx(2sin x 1)=0 よって ゆえに (coSエ+1(cosxー1)20 coSIS-1, 1 8sx -1ScosxS1であるから ゆえに cosx =0 または sinx= よって m 3 1 0Sx<2x であるから 3 エー cosx=-1 または cosr=1 coSx =0 のとき xニ 2'2 3 2 0Sx<2であるから 1 sin x=- 5 ズ= 6'6 3 cosI=-1のとき ま=ま 2のとき coSエ=1のとき したがって, 解は (3) cosx+sin 2x>0 から エ=0 したがって,解は エ= 5 3 -π,った したがって, 解は エ=0,ま (3) 2cos2x +4cosx-1=0 から cosI+2sin まcosx>0 V6 2(2cos?x-1)+4cosx-1=0 よって cosx(2sinx+1)>0 (cosx>0 かつ 2sin x+1>0 または(coSIく0かつ 2sinx+1<0) 3 4cos?x+4cosx-3=0 (2cosx-1(2cosx+3)=0 よって ゆえに sin a ゆえに COSa 2cos x +3キ0であるから すなわち(cos.x>0 かつ sinx>- sina 2cos x -1=0 よって COS.x= 2 COsa 5 0Sx<2x であるから または(cosxく0 かつ sinxくー -4sin°a I sina) (4) sin x(1+cos2.x)+sin2.x(1+cosx)3D0 から sin x{1+(2cos"x-1)) +2sin xcos.x(1+cos.x)3D0 0Sx<2x であるから、 ① より a)

どうして（2）の答えは６になるのですか⁇

図1のように,水平面となす角が0 のなめらかな斜面がある。その下端の点Pに置い た小物体に,斜面に沿って上向きに大きさ 。の初速度を与えると, 小物体は斜面上をす ベり上がって点Qに達し, そこで向きを変えて点Pまで戻ってきた。 重力加速度の大き さをgとする。 P 図1 (1) 点Qの水平面からの高さ hを表す式として正しいものを, 次の 0~⑥ のうちから 1つ選べ。h=I| vo'sin?0 2g 2v。 の g 20。 2 v。 0 2g の 2gsin0 gsin 0 20sin?0 g (2) 小物体が点Pを離れてから, 点Qを経て再び点Pに戻ってくるまでの時間を表す 式として正しいものを, 次の 0~0 のうちから1つ選べ。2 Vosin 0 200 20,sin0 g gsin0 g 20。 gsin 0

なぜ点Qの座標がrcos(‪α‬+π/3)なのですか？

「点P(3, 1)を,点 A(1, 4) を中心として だけ回転させた点をQとする。 232 OO0 基本 例題148 点の回転 25 π 点P(3, 1)を,点 A(1, 4) を中心として今だけ回転させた点を9と。 (1) 点Aが原点Oに移るような平行移動により,点Pが点Pに移るし 基 π 点P'を原点0を中心として (2)点Qの座標を求めよ。 2 3 p.227 基本事項 ソト 指針> 点P(xo, Yo) を, 原点 Oを中心として0だけ回転させた点を Q(x, y)とする。 OP=rとし,動径 OP とx 軸の正の向きとのなす角を αとす Q(rcos(a+0、 Tsinla+ ると Xo=rcos α, o=rsina SP 0 (Tcosa、 Y OQ=rで,動径 OQ とx軸の正の向きとのなす角を考えると, 加法定理により x=rcos(α+0)=rcosαcos0-rsinαsin0=xocos0-yosin0 ソ=rsin(α+0)=rsinacos0+rcosαsin0= yo Cos 0+ xosin0 この問題では,回転の中心が原点ではないから, 上のことを直接使うわけにはいかない。 で,3点P, A, Qを,回転の中心である点Aが原点に移るように平行移動 して考える。 二情 CD _rsu 0 0 YSna エ十xを 解答 (1) 点Aが原点0に移るような平行移動により,点Pは点 P'(2, -3)に移る。次に, 点Q' の座標を(x', y)とする。 また,OP'=r とし,動径 OP' とx軸の正の向きとのなす角 |x軸方向に-1, y軸方向 に-4だけ平行移動する。 129 nst 13 S65 をαとすると 2=rcos a, -3=rsina S65 よって デーrco(a+号)rcomcosーrsinasin よって x'=rcos{α+ =rcos a COS 3 -rsinasin- 3 3+ イrを計算する必要はない。 1 =2. 3 2+3/3 2 ゾ=rsin(a+ 2 2 4 4 π =rsinacos+rcos asin 3 → TA Sin3 ち向の五O 1 13_2/3-3 三ー 2 2 2 2+3/3 2/3-3) 2 Boe nspns 0NV2 |3 したがって、点Q’の座標は 万3

どうしたら良いのか見当がつきません お時間ある方いらっしゃいましたら、解説お願いします🤲

図1のように,水平面となす角が0のなめらかな斜面がある。その下端の点Pに置い た小物体に,斜面に沿って上向きに大きさ 。の初速度を与えると, 小物体は斜面上をす ベり上がって点Qに達し, そこで向きを変えて点Pまで戻ってきた。重力加速度の大き さをgとする。 I P 図1 (1) 点Qの水平面からの高さ hを表す式として正しいものを, 次の 0~⑥のうちから 1つ選べ。h=I 0 2g の 2gsin 0 sin?0 の 2v。° の 2v。 gsin0 2g g 20sin?0 O g (2) 小物体が点Pを離れてから, 点Qを経て再び点Pに戻ってくるまでの時間を表す 式として正しいものを,次の 0~⑥のうちから1つ選べ。2 Vo Vosin0 の 200 の g V。 0 g の gsin0 2vsin 0 g g 200 O gsin 0

文章が何を言っているか掴めません。できれば部分的でもいいのでSVなどを振ってくれると嬉しいです

向想 く1 >次の英文を読んで、下の設問に答えよ。 Perhaps the single biggest mistaké we make when we say 'No' is to start from 'No'. , We derive our ‘No' from what we are against- the other's demand or behavior. A positive ‘No' calls on us to do the exact opposite and base our ‘No' on what we are for. Instead of starting from ‘'No', start from ‘Yes'. Root your ‘No' in a deeper 'Yes' -a Yes' to your core interests and to what truly matters. Nowhere didI learn this more clearly than from a relative of mine who suffered from a serious addiction to alcohol that nearly cost him and others their lives in a car accident. He tried many times to give up the habit but always failed. Then at the age of sixty, just when all hope seemed lost, he found in himself the will to say ‘'No' and stop drinking. The secret? “"When my first grandchild was born," he says, “I wanted more than anything to live long enough to see him grow up. It was his birth that motivated me to get treatment and stop drinking. Since then, for over fifteen years now, I have not touched a drop." His 'Yes' to being present for his grandchildren - to be able to play with them and see them grow - motivated his powerful ‘No' to alcohol. His story serves to illustrate an everyday paradoxical truth: the power of your ‘No' comes directly from the power of your 'Yes'. 1our Yes is the underlying purpose for which you are saying 'No', The first step in the method is to uncover the Yes' that lies behind your'No'.(1)The deeper you go into vour core motivation, the more powerful your Yes' will be and thus the more powerful your 'No'. aht ha Tt is ourselves. It is our 1*em ;TL

この教科書のレベルはどのくらいですか教えください この教科書でどのくらいのレベルの大学まで対応できますか？

1 On 10 February 2009, at a height of about 800 kilometers above Siberia, an American satellite collided the first such height [háit] satellite [séetalait] collide(d) [kaláid(id)] with an old Russian satellite. It was collision [kaligan] collision in the history of space development. As a result, fragment(s) [fráegmant(s)) debris [dabri:] more than 1,000 fragments of debris were scattered into space. 2 The image above shows the vast amount of space debris in orbit around Earth. Approximately 22,000 vast [váest] orbit [5:rbat] approximately [aprá:ksamatli) objects larger than 10 centimeters across are floating around Earth. Of these, about 16,000 are from known 10 considering [kansidarig) artificial [a:rtafijal] currently [ks:rantli] operation [a:paréifon] Considering that there are only about 1,000 artificial satellites currently in operation, the amount of Sources. space debris is astonishing. This space debris is not only due to the collision of satellites. For example, when rockets reach space, they s 15 leave behind surplus engines and fuel tanks. These objects remain in orbit as space debris. In addition, surplus s5:rplas] there are tools that astronauts have dropped while tool(s) [t:l(z)) astronaut(s) [astrand:t(s) aluminum [ala:manom per|par] working outside. Even a one-centimeter aluminum ball. when orbiting at a speed of around 10 kilometers per 0 bullet [bálat] second, is far more powerful than a bullet from a gun. gun [gán]

1枚目が問題文、2枚目の(B)のカッコに下の選択肢から当てはまる英単語を選ぶ問題です。 解答お願いしますm(*_ _)m

次の英文(A)の内容を要約して英文(B)を完成させるには、③~ の (o)の中にはどの語 句が入りますか。もっとも適当なものを①~4の中から1つずつ選びなさい。 auon which A job interview can be one of the most stressful experiences you ll ever nave, especially the first one. What should you expect when you ve been invited for an interview? While it's impossible to *"predict exactly what you will be asked, many Japanese companies take a rather *"formulaic approach. It would be in your best interest to become familiar with this approach. in 2020 P BSCamaG Use of First, you will likely be asked to introduce yourself. It's a good idea to keep your answer fairly short and to the point, without getting into too much detail. In addition, you will almost certainly be asked why you want to work for the company. It's very important that you prepare carefully for this question in advance. Your answer representS an op opportunity to make a strong impression on the interviewers by showing your in-depth e Cop knowledge of the company and stating clearly why the company best fits your qualifications, skills, and long-term goals, You should also be prepared to discuss your strengths and weaknesses. You're advised to **emphasize your strengths without sounding *overconfident. If you're asked about your weaknesses, mention one that isn't related to the pe0 position. For example, admitting that you're not a good public speaker probably won't hurt your chances of being hired as a software engineer. At the end of the interview, you may be asked if you have any questions. It's a good idea to prepare some questions in advance in case this opportunity arises. Questions such as career advancement opportunities questions. Finally, end the interview in a polite manner by standing, stating that it was an honor meeting everyone, and bowing. If all goes well, you'll hear from them again soon. Good luck! 295d sldsaus *formulaic:型にはまったesb je9108) and working hours are suitable meoもの never make thisworld peaceful *predict:予測する *emphasize:強調する *overconfident:自信過剰な motivna 【令和3年度 第66回 1級]