A river has a steady speed of 0.420 m/s. A student swims upstream a distance of 1.00 km and swims back to the starting point. (a) If the student can swim at a speed of 1.40 m/s in still water, how long does the trip take? (No Response) s (b) How much time is required in still water for the same length swim? (No Response) s (c) Intuitively, why does the swim take longer when there is a current? (No Response)

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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### Problem Statement

A river has a steady speed of **0.420 m/s**. A student swims upstream a distance of **1.00 km** and swims back to the starting point.

#### (a) Upstream and Downstream Swim Time
If the student can swim at a speed of **1.40 m/s** in still water, how long does the trip take?  
**[No Response]** seconds

#### (b) Swim Time in Still Water
How much time is required in still water for the same length swim?  
**[No Response]** seconds

#### (c) Effect of Current on Swim Time
Intuitively, why does the swim take longer when there is a current?  
**[No Response]**

### Explanation

The problem involves calculating the time it takes to swim upstream against a current and downstream with the current, compared to swimming the same distance in still water. The challenge is to understand how the river's current influences the total time of the round trip.
Transcribed Image Text:### Problem Statement A river has a steady speed of **0.420 m/s**. A student swims upstream a distance of **1.00 km** and swims back to the starting point. #### (a) Upstream and Downstream Swim Time If the student can swim at a speed of **1.40 m/s** in still water, how long does the trip take? **[No Response]** seconds #### (b) Swim Time in Still Water How much time is required in still water for the same length swim? **[No Response]** seconds #### (c) Effect of Current on Swim Time Intuitively, why does the swim take longer when there is a current? **[No Response]** ### Explanation The problem involves calculating the time it takes to swim upstream against a current and downstream with the current, compared to swimming the same distance in still water. The challenge is to understand how the river's current influences the total time of the round trip.
Expert Solution
Step 1

In upstream flow, the speed of the student swimmer is equal to the difference in the speed of the current and the speed of the student swimmer.

In downstream flow, the speed of the student swimmer is equal to the sum of the speed of the current and the speed of the student swimmer.

vdownstream=vswimmer-vcurrentvupstream=vswimmer-vcurrent

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