On a pleasure cruise a boat is traveling relative to the water at a speed of 7.28 m/s due south. Relative to the boat, a passenger walks toward the back of the boat at a speed of 1.37 m/s. (a) What is the magnitude of the passenger's velocity relative to the water? (b) How long does it take for the passenger to walk a distance of 33.3 m on the boat? (c) How long does it take for the passenger to cover a distance of 33.3 m on the water?

Question
Asked Sep 21, 2019

On a pleasure cruise a boat is traveling relative to the water at a speed of 7.28 m/s due south. Relative to the boat, a passenger walks toward the back of the boat at a speed of 1.37 m/s. (a) What is the magnitude of the passenger's velocity relative to the water? (b) How long does it take for the passenger to walk a distance of 33.3 m on the boat? (c) How long does it take for the passenger to cover a distance of 33.3 m on the water?

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Step 1

Given,

Speed of water v=7.28 m/s
Speed of passenger v,=1.37 m/s
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Speed of water v=7.28 m/s Speed of passenger v,=1.37 m/s

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Step 2

Part (a): The magnitude of the passenger's velocity relative to the water:

= Vw -V?
pw
- 7.28-1.37
=5.91 m/s
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= Vw -V? pw - 7.28-1.37 =5.91 m/s

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Step 3

Part (b):  Time for the passenger to wa...

Distance
Time
Speed of Passenger
33
1.37
=24.09 s
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Distance Time Speed of Passenger 33 1.37 =24.09 s

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