Applications-differentiation2

2010-11-22 8:20 am

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Car A travels due north at 1/2 km/min and car B travels along the northeast direction at √2 km/min. At noon, car B will start at O and car A will start at a position 5 km due north of O. (a) When will the two cars be closest to each other? (b) Find the shortest distance between the two cars.

回答 (1)

2010-11-22 9:10 am
✔ 最佳答案

圖片參考:http://imgcld.yimg.com/8/n/HA00430051/o/701011220156313873413850.jpg

(a) When t = 2, AB is minimum.
So at 12:02 pm, the distance between two cars is minimum.
(b) Shortest distance = root20
= 2root5 km
參考: me


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