The table shows the height of a model rocket launched from the top of a four-story building and landing in a pond nearby. Height is measured in feet above the surface of the pond. Rocket Height Time, t (seconds) Height, H (feet) O (launch) 61 0.5 73 1. 77 1.5 73 2 61 (a) Explain why a quadratic model is more appropriate than a log or exponential model. The data indicates the graph is only decreasing. Logarithmic and exponential functions both increase and decrease while quadratic functions either increase or decrease. The data indicates a maximum point and changes from increasing to decreasing at that point. Logarithmic and exponential functions do not possess maximum points, but quadratic functions do. The data indicates a minimum point and changes from decreasing to increasing at that point. Logarithmic and exponential functions do not possess minimum points, but quadratic functions do. The data indicates the graph is only increasing. Logarithmic and exponential functions both increase and decrease while quadratic functions either increase or decrease. (b) Write the function for the quadratic model that gives the height in feet of the rocket above the surface of the pond, where t is seconds after the rocket has launched, with data from osts 2.
The table shows the height of a model rocket launched from the top of a four-story building and landing in a pond nearby. Height is measured in feet above the surface of the pond. Rocket Height Time, t (seconds) Height, H (feet) O (launch) 61 0.5 73 1. 77 1.5 73 2 61 (a) Explain why a quadratic model is more appropriate than a log or exponential model. The data indicates the graph is only decreasing. Logarithmic and exponential functions both increase and decrease while quadratic functions either increase or decrease. The data indicates a maximum point and changes from increasing to decreasing at that point. Logarithmic and exponential functions do not possess maximum points, but quadratic functions do. The data indicates a minimum point and changes from decreasing to increasing at that point. Logarithmic and exponential functions do not possess minimum points, but quadratic functions do. The data indicates the graph is only increasing. Logarithmic and exponential functions both increase and decrease while quadratic functions either increase or decrease. (b) Write the function for the quadratic model that gives the height in feet of the rocket above the surface of the pond, where t is seconds after the rocket has launched, with data from osts 2.
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...
Related questions
Question
Transcribed Image Text:The table shows the height of a model rocket launched from the top of a four-story building and landing in a pond nearby. Height
is measured in feet above the surface of the pond.
Rocket Height
Time, t
(seconds)
Height, H
(feet)
O (launch)
61
0.5
73
77
1.5
73
2
61
(a) Explain why a quadratic model is more appropriate than a log or exponential model.
The data indicates the graph is only decreasing. Logarithmic and exponential functions both increase and decrease
while quadratic functions either increase or decrease.
The data indicates a maximum point and changes from increasing to decreasing at that point. Logarithmic and
exponential functions do not possess maximum points, but quadratic functions do.
The data indicates a minimum point and changes from decreasing to increasing at that point. Logarithmic and
exponential functions do not possess minimum points, but quadratic functions do.
The data indicates the graph is only increasing. Logarithmic and exponential functions both increase and decrease
while quadratic functions either increase or decrease.
(b) Write the function for the quadratic model that gives the height in feet of the rocket above the surface of the pond,
where t is seconds after the rocket has launched, with data from osts 2.
H(t) =
(c) Use the model to determine when the missile hits the water. (Round your answer to two decimal places.)
sec
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 35 images
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning