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 November 9th, 2017, 01:43 PM #1 Newbie   Joined: Nov 2017 From: Canada Posts: 4 Thanks: 0 Related rates - bridge / boat A bridge goes across the river at a height of 60m. A car on the bridge travelling at 40 m/s passes directly over a boat travelling up the river at 15 m/s. Find the rate at which the distance between the car and the boat is increasing 3 seconds later?
 November 10th, 2017, 03:24 AM #2 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,261 Thanks: 894 One method: set up a coordinate system so that (0, 0, 0) is the position of the boat directly under the bridge and (0, 0, 60) is the position of the car with the x-axis parallel to the bridge. What are the positions of the boat and car t seconds later? What is the distance between those two points? Differentiate that formula with respect to t to find the rate of change of that distance.

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