rdfvjur的部落格

標題:

Vector problem

發問:

Airplane A flies due east at 245 km/h relative to the ground. At the same time, airplane B flies 315 km/h, 32 deg north of east relative to the ground. Determine the magnitude and direction of the velocity of Airplane A relative to B.

• 如住荃灣區，請問會去邊間醫院生bb的。(政府)
• 要自己製作手冊,該找哪種公司-價錢-
• I bought 3000 shares of #722 at 5.86. what can i do now-
• 台中胡桃鉗傢俱有打折嗎
• 急~~最高法院判決書
• 私人補習問題--
• 三聯書局ge所有分店係邊到
• 請問統測451分可以進哪幾所學校的機械類啊？？(聯登)
• 我朋友收到簡易法庭判決處刑書(毒品)我想知道會判多久
• 『個人檔案』的隱藏，有D嘜野優點同缺點？

 

此文章來自奇摩知識+如有不便請留言告知

最佳解答:

Resolve velocity of plane B in the northern and eastern direction components Northern component = 315.sin(32) km/h = 166.9 km/h Eastern component = 315.cos(32) km/h = 267.1 km/h The relative velocity of plane A relative to plane B... in the northern direction = 0 - 166.9 km/h = -1669. km/h (the -ve sign indicates that the direction is due south) in the eastern direction = (245 - 267.1) km/h = -22.1 km/h (the -ve sign indicates that the direction is due west) Hence, magnitude of relative velocity = square-root[166.9^2 + 22.1^2] km/h = 168.4 km/h Let a be the angle between the relative velocity and the western direction tan(a) = 166.9/22.1 a = arc-tan(166.9/22.1) = 82.5 degrees The velocity of plane A relative to plane B is 82.5 degrees south of west.

其他解答:31C9A75CB3B14398