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27 May, 09:33

At noon, ship A is 45 miles due west of ship

B. Ship A is sailing south at 5 mph while ship

B is sailing north at 15 mph.

At what speed is the distance between the

ships changing at 3:00 pm?

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  1. 27 May, 09:52
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    distance = ((20t) ^2 + 45^2) ^0.5 d (distance) / dt = 0.5*800t * (400t^2 + 2025) ^-0.5 400t / (400t^2 + 2025) ^0.5 plug t = 3 1200 / (3600 + 2025) ^0.5 = 1200 / 75 = 16
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