Answer: Two students are canoeing on a river. While

Chapter 3, Problem 89CP

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QUESTION:

 Problem 89CP

Two students are canoeing on a river. While heading upstream, they accidentally drop an empty bottle overboard. They then continue paddling for 60 minutes, reaching a point 2.0 km farther upstream. At this point they realize that the bottle is missing and, driven by ecological awareness, they turn around and head downstream. They catch up with and retrieve the bottle (which has been moving along with the current) 5.0 km downstream from the turnaround point. (a) Assuming a constant paddling effort throughout, how fast is the river flowing? (b) What would the canoe speed in a still lake be for the same paddling effort?

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QUESTION:

 Problem 89CP

Two students are canoeing on a river. While heading upstream, they accidentally drop an empty bottle overboard. They then continue paddling for 60 minutes, reaching a point 2.0 km farther upstream. At this point they realize that the bottle is missing and, driven by ecological awareness, they turn around and head downstream. They catch up with and retrieve the bottle (which has been moving along with the current) 5.0 km downstream from the turnaround point. (a) Assuming a constant paddling effort throughout, how fast is the river flowing? (b) What would the canoe speed in a still lake be for the same paddling effort?

ANSWER:

Solution 89CP

Step 1:        

Given

The velocity of canoe in upstream v-u = 2km/60 min

                v-u = 2 km/h

                Where u - velocity of stream

                v- velocity of canoe

                Upstream velocity = v-u

                Downstream velocity = v+u

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