6. The Apollo's Chariot, a roller coaster at Busch Gardens, moves at 110 feet per second. The equation of the ride can be represented by the equation h = -162 + 101t+ 10. What is the maximum height reached by this ride?
6. The Apollo's Chariot, a roller coaster at Busch Gardens, moves at 110 feet per second. The equation of the ride can be represented by the equation h = -162 + 101t+ 10. What is the maximum height reached by this ride?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:4. A penny is dropped off the Empire State Building, which is 1,250 feet tall. If
the penny's pathway can be modeled by the equation h = -16ẞ² + 1250,
how long would it take the penny to strike a 6-foot tall person?
6=-16t² +1250
16+² + 1 = 1250
679
च
4.
. 8.82
ť² = 11277
#√√77.75
;= 8.817
8-82 sec
5.
5
16t2=1244
16t2 = 1244 16t²
16t² = 1294
5. Some fireworks are fired vertically into the air from the ground at an initial
speed of 80 feet per second. The equation for this object's height h at
time t seconds after launch is h = -162 + 80t. How long will it take the
fireworks to reach the ground?
2
n=-16t² +80t
===16++80)=0
-16++80=0
5167 80
16
t=5 sec
6. The Apollo's Chariot, a roller coaster at Busch Gardens, moves at 110 feet
per second. The equation of the ride can be represented by the
equation h = -162 + 101t+ 10. What is the maximum height reached by
this ride?
6. 10
7. Eva is jumping on a trampoline. Her heighth at time t can be modeled
by the equation h = -161² + 20t+ 6. Would Eva reach a height of 14 feet?
8. An astronaut on the Moon throws a baseball upward with an initial
velocity of 10 meters per second, letting go of the baseball 2 meters
above the ground. The equation of the baseball pathway can be
modeled by h = -0.82 + 101 +2. The same experiment is done on Earth,, in
which the pathway is modeled by equation h = -4.92² + 10t+ 2. How
much longer would the ball stay in the air on the Moon compared to on
Earth?
7..
8..
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