A balloon is descending vertically at a constant rate of 6 ft/sec to land on a level, straight road. Just when the balloon is 104 feet above the ground, a bicycle moving at a constant rate of is ft/sec passes directly under it (point 0 on the diagram). How fast is the distance between the bicycle and balloon changing 4 seconds later?

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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
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A balloon is descending vertically at a constant rate of 6 ft/sec to land on a level, straight road. Just
when the balloon is 104 feet above the ground, a bicycle moving at a constant rate of 15 ft/sec passes
directly under it (point 0 on the diagram).
How fast is the distance between the bicycle and balloon changing 4 seconds later?
a.
b.
dog stand that the cyclist passed 8 seconds before passing directly under the balloon. If an observer
munching their hot dog while standing at this location watches the balloon descend, at what angular rate
do their eyes rotate downward to watch the balloon descend at the moment the balloon is 30 feet high?
Extend the horizontal line in the diagram above to the left in order to find the location of a hot
Transcribed Image Text:A balloon is descending vertically at a constant rate of 6 ft/sec to land on a level, straight road. Just when the balloon is 104 feet above the ground, a bicycle moving at a constant rate of 15 ft/sec passes directly under it (point 0 on the diagram). How fast is the distance between the bicycle and balloon changing 4 seconds later? a. b. dog stand that the cyclist passed 8 seconds before passing directly under the balloon. If an observer munching their hot dog while standing at this location watches the balloon descend, at what angular rate do their eyes rotate downward to watch the balloon descend at the moment the balloon is 30 feet high? Extend the horizontal line in the diagram above to the left in order to find the location of a hot
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