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Related Rates: Rate of Change of Distance Between Objects

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At noon, ship A is 100 km west of ship B. A is sailing south at 35 km/h and B is sailing north at 25 km/h. How fast is the distance between the ships changing at 16:00 h?

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The rate of change of distance between objects is found.

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After some t, B is at (100, b) and A is at (0, −a). So the distance between them is ...

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