Question

Calculus Rates & speed question about airplanes

Answer 1

I know the answer of a; how do I find the equation for the distance between the planes at all times for part b?

Answer 2

its easier to read when its not in the chinese mode ...

Answer 3

yup

Answer 4

Is it solvable?

Answer 5

its solveble, buti have to read thru it first, and these old eyes get tired at times

Answer 6

both at 33000 ft

they intersect directly over Frada hgts

near misses shortly after 130pm
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at 130, Am2003 was 32 Nm from Frada, heading 171o at a rate of 405knots

at 130 Un366 was 44 Nm from Frada, heading 81o at a rate of 465 knots

Answer 7

how how do we read airplane headings? from the north line right?

Answer 8

yes

Answer 9

doesnt really matter, the orientation is the same regardless of our 'proper' placements

Answer 10

lets draw a picture, both planes, and Frada

Answer 11

Ohh ok I just assumed it was a right triangle and so drew a right triangle with 81 9 and 90

Answer 12

171-81 = 90, so your assumption was valid

Answer 13

we have that, we got the rate of the distance decreasing between them two, but we need to find the actual distance separation at the closest point. that is the part we are having trouble with

Answer 14

the rate we got is 472.8 knots

Answer 15

yup we have that already

Answer 16

d^2 = x^2 + y^2

rate of change is derivatives, so what is our derivative?

Answer 17

jut making sure we are on the same page here

Answer 18

the shortest distance between them is when one of them is at Frada ... that is when they are in line with each other.

Answer 19

what is our derivative? lets make sure we are working it thru and have not developed any errors

Answer 20

hmm..how did you draw the triangle?

Answer 21

yup we have that