Question

At noon, ship A is 50km west of ship B. Ship A is sailing south at 30km/h and ship B is sailing north at 20km/h. How fast is the distance between the ships changing at 4:00pm.

Answer 1

this is what i did but the answer is wrong

Answer 2

yes i think i got the same diagram

Answer 3

yes, i agree

Answer 4

did i do it a different way in the picture above?

Answer 5

so the change in d is (1/2)(50^2t)/(sqrt((50t)^2 +50^2) )

Answer 6

left out a square on the 50... fixed it..

Answer 7

so whats t?

Answer 8

4

Answer 9

let me try it 1sec

Answer 10

\[\frac{ 1 }{ 2 } \frac{ 50^2t }{ \sqrt{(50t)^2 +50^2} }\]

Answer 11

~24.25

Answer 12

i dont think so

Answer 13

i tried again and got 24.25 and its wrong

Answer 14

dang... yeah, I just caught the error

Answer 15

there's no 1/2 out front because t^2 ' =2t

Answer 16

\[\frac{ 50^2*t }{\sqrt{(50t)^2 +50^2 } }\]

Answer 17

so 48.5

Answer 18

got it. perfect, thanks

Answer 19

sure:)