A motorboat weighs 32,000 lb and its motor provides a thrust of 5000 lb. Assume that the water resistance is 100 pounds for each foot per second of the speed v of the boat. Then 1000 dv = 5000 – 100v. dt If the boat starts from rest, what is the maximum velocity that it can attain?

College Algebra (MindTap Course List)
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ISBN:9781305652231
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Chapter4: Polynomial And Rational Functions
Section4.CT: Chapter Test
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A motorboat weighs 32,000 lb and its motor provides a
thrust of 5000 lb. Assume that the water resistance is 100
pounds for each foot per second of the speed v of the boat.
Then
1000
dv
= 5000 – 100v.
dt
If the boat starts from rest, what is the maximum velocity
that it can attain?
Transcribed Image Text:A motorboat weighs 32,000 lb and its motor provides a thrust of 5000 lb. Assume that the water resistance is 100 pounds for each foot per second of the speed v of the boat. Then 1000 dv = 5000 – 100v. dt If the boat starts from rest, what is the maximum velocity that it can attain?
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