A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 4 m above the bow. The rope is hauled in at the rate of 0.8 m/s. Complete parts a. and b. Ring at edge of dock a. How fast is the boat approaching the dock when 5 m of rope are out? The distance between the boat and the dock is changing at a rate of 3 m/s. (Type an integer or a simplified fraction.) b. At what rate is the angle 0 changing at this instant? rad/s. (Type an integer or a simplified fraction.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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A dinghy is pulled toward a dock by a rope from
the bow through a ring on the dock 4 m above
the bow. The rope is hauled in at the rate of
0.8 m/s. Complete parts a. and b.
Ring at edge
of dock
a. How fast is the boat approaching the dock when 5 m of rope are out?
The distance between the boat and the dock is changing at a rate of
3 m/s.
(Type an integer or a simplified fraction.)
b. At what rate is the angle 0 changing at this instant?
rad/s.
(Type an integer or a simplified fraction.)
Transcribed Image Text:A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 4 m above the bow. The rope is hauled in at the rate of 0.8 m/s. Complete parts a. and b. Ring at edge of dock a. How fast is the boat approaching the dock when 5 m of rope are out? The distance between the boat and the dock is changing at a rate of 3 m/s. (Type an integer or a simplified fraction.) b. At what rate is the angle 0 changing at this instant? rad/s. (Type an integer or a simplified fraction.)
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