来个数学高手解决这英文题目~!~!~~~A plane is flying due north at 400km/h. A wind from due west is blowing at 40km/h, which blows the plane slightly off coures. what is the plane's new direction(angle)and new velocity? 顺便问下,vertica

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来个数学高手解决这英文题目~!~!~~~A plane is flying due north at 400km/h. A wind from due west is blowing at 40km/h, which blows the plane slightly off coures. what is the plane's new direction(angle)and new velocity? 顺便问下,vertica
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来个数学高手解决这英文题目~!~!~~~A plane is flying due north at 400km/h. A wind from due west is blowing at 40km/h, which blows the plane slightly off coures. what is the plane's new direction(angle)and new velocity? 顺便问下,vertica
来个数学高手解决这英文题目~!~!~~~
A plane is flying due north at 400km/h. A wind from due west is blowing at 40km/h, which blows the plane slightly off coures. what is the plane's new direction(angle)and new velocity?
顺便问下,vertical velocity是什么意思?

来个数学高手解决这英文题目~!~!~~~A plane is flying due north at 400km/h. A wind from due west is blowing at 40km/h, which blows the plane slightly off coures. what is the plane's new direction(angle)and new velocity? 顺便问下,vertica
翻译:一架飞机正以400千米/时的速度向北飞行.一股风以40千米/时的速度向西刮来,并使飞机轻微偏离了航道.飞机的新方向和速度是多少?
本人现在就在美国上大学的说,这个题用三角函数应该可以解吧.
vertical velocity是垂直速度(速率)的意思

速度为根号161600
方向为西偏北tan10
.................北
.................^
............\....|
.............\...|
..............\..|400
...............\.|
.西<___a(\|
...40
(这...

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速度为根号161600
方向为西偏北tan10
.................北
.................^
............\....|
.............\...|
..............\..|400
...............\.|
.西<___a(\|
...40
(这里空格不能显示,所以打点)
利用勾股定理:
根号(40^2+400^2)
得出速度
方向就用tan
tanA等于tan(400/40)
所以角度为tan10
所以为西偏北tan10

收起

谢谢楼上的翻译,我来接着做吧,功劳算楼上的。
飞机的新速度是:根号(400^2+40^2) = 402 KM/h.
tan^-1(40/400) = 5.710593137 度
飞机新的飞行方向为:北偏西 5.710593137 度。