4. A balloon is rising vertically above a level, straight road at a constant rate of 3 ft/sec. Just when the balloon is 78 ft s(t) is increasing by (Simplify your answer.) ft/ sec. above the ground, a bicycle moving at a constant rate of 12 ft/ sec passes under it. How fast is the distance s(t) between the bicycle and balloon increasing 6 seconds later? y(t) s(t) on back x(t) ID: 3.10.33 5. A light shines from the top of a pole 40 ft high. A ball is dropped from the same height from a point 30 ft away from the light. How fast is the shadow of the ball Ball at time t=0 moving along the ground 1 sec later? (Assume the ball falls a distance s = 16t in t sec.) t3D t- 1 sec later 40-ft pole 30 The shadow is moving at a velocity of ft/sec. (Type an integer or a decimal.) ID: 3.10.39

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Question
4. A balloon is rising vertically above a level, straight road at a
constant rate of 3 ft/sec. Just when the balloon is 78 ft
s(t) is increasing by
(Simplify your answer.)
ft/ sec.
above the ground, a bicycle moving at a constant rate of 12
ft/ sec passes under it. How fast is the distance s(t) between
the bicycle and balloon increasing 6 seconds later?
y(t)
s(t)
on
back
x(t)
ID: 3.10.33
5. A light shines from the top of a pole 40 ft high. A ball is dropped from the same
height from a point 30 ft away from the light. How fast is the shadow of the ball
Ball at time t=0
moving along the ground 1 sec later? (Assume the ball falls a distance s = 16t
in t sec.)
t3D
t- 1 sec later
40-ft
pole
30
The shadow is moving at a velocity of
ft/sec.
(Type an integer or a decimal.)
ID: 3.10.39
Transcribed Image Text:4. A balloon is rising vertically above a level, straight road at a constant rate of 3 ft/sec. Just when the balloon is 78 ft s(t) is increasing by (Simplify your answer.) ft/ sec. above the ground, a bicycle moving at a constant rate of 12 ft/ sec passes under it. How fast is the distance s(t) between the bicycle and balloon increasing 6 seconds later? y(t) s(t) on back x(t) ID: 3.10.33 5. A light shines from the top of a pole 40 ft high. A ball is dropped from the same height from a point 30 ft away from the light. How fast is the shadow of the ball Ball at time t=0 moving along the ground 1 sec later? (Assume the ball falls a distance s = 16t in t sec.) t3D t- 1 sec later 40-ft pole 30 The shadow is moving at a velocity of ft/sec. (Type an integer or a decimal.) ID: 3.10.39
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