A balloon is rising vertically above a level, straight road at a constant rate of 0.35 [m/s]. Just when the balloon is 25 m above the ground, a bicycle moving at a constant rate of 6 [m/s] passes under it (see figure) a) How fast is the distance s(t) between the bicycle and balloon increasing 3 [s] later? b) What is the altitude of the balloon? (same time in a) of 3[s] later)

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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Answer the Following Question with an explanation of your working out. 

A balloon is rising vertically above a level, straight road at a constant rate of 0.35 [m/s]. Just
when the balloon is 25 m above the ground, a bicycle moving at a constant rate of 6 [m/s]
passes under it (see figure)
s()
a) How fast is the distance s(t) between the bicycle and balloon increasing 3 [s] later?
b) What is the altitude of the balloon? (same time in a) of 3[s] later)
Transcribed Image Text:A balloon is rising vertically above a level, straight road at a constant rate of 0.35 [m/s]. Just when the balloon is 25 m above the ground, a bicycle moving at a constant rate of 6 [m/s] passes under it (see figure) s() a) How fast is the distance s(t) between the bicycle and balloon increasing 3 [s] later? b) What is the altitude of the balloon? (same time in a) of 3[s] later)
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