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A river has a steady speed of ?s = 0.500 m/s due east, and a constant width of ? = 1.00 km. A student swims from the south bank to the north bank, and then swims back to the south bank. In each leg of the round trip, the student swims along a straight path. The student can swim at a speed of ? = 1.20 m/s in still water.Scenario 1: Suppose the round trip takes the shortest possible time.(a) How long does it take the student to make the round trip?(b) Upon returning the south bank, how far does the student reach downstream from the original point?Scenario 2: Suppose the student reaches the location directly opposite to the starting point, and then swims back to the starting point.(c) How long does it take the student to make the round trip?

Question
  1. A river has a steady speed of ?s = 0.500 m/s due east, and a constant width of ? = 1.00 km. A student swims from the south bank to the north bank, and then swims back to the south bank. In each leg of the round trip, the student swims along a straight path. The student can swim at a speed of ? = 1.20 m/s in still water.

    Scenario 1: Suppose the round trip takes the shortest possible time.(a) How long does it take the student to make the round trip?

    (b) Upon returning the south bank, how far does the student reach downstream from the original point?

    Scenario 2: Suppose the student reaches the location directly opposite to the starting point, and then swims back to the starting point.

    (c) How long does it take the student to make the round trip?

check_circleAnswer
Step 1

(a)

The time taken for the upstream is,

Substitute the values,

(-)
1000m
(1.00km)1km
(1.20m/s- 0.500m/s)
op
1000m
0.7m/s
1428.6s
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Image Transcriptionclose

(-) 1000m (1.00km)1km (1.20m/s- 0.500m/s) op 1000m 0.7m/s 1428.6s

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Step 2

The time taken for the downstream is,

Substitute the values,

to(v,
dora
(-)
(100km)1000m
doa(1.20m/s+0500m/s)
lkm
1000m
1.7m/s
- 588.2s
help_outline

Image Transcriptionclose

to(v, dora (-) (100km)1000m doa(1.20m/s+0500m/s) lkm 1000m 1.7m/s - 588.2s

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Step 3

The total time taken by the stu...

t-t
+t
dow
=1428.6s+588.2s
=2016.8s
help_outline

Image Transcriptionclose

t-t +t dow =1428.6s+588.2s =2016.8s

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