A baseball is thrown upward, and its height measured at 0.5-second intervals using a strobe light. The resulting data are given the table. (Let y be the height of the baseball in ft and x the time in seconds since it is thrown.) Time (s) Height (ft) 4.2 0.5 26.1 1.0 40.1 1.5 46.0 2.0 43.9 2.5 33.7 3.0 15.8 (a) Draw a scatter plot of the data. y 70 60 5of 40 50 40 30 30 20 20 10 10 y 70 50 60 40 50 30 40 30 20 10 20 10 2 3 O-1 What degree polynomial is appropriate for modeling the data? (b) Find a polynomial model that best fits the data. (Round all numerical values to three decimal places.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

4

(b) Find a polynomial model that best fits the data. (Round all numerical values to three decimal places.)
Graph it on the scatter plot.
y
7아
60
so
4아
50
4아
30
3아
20
20아
10
10
3
O-1
y
7아
50
60
50
40
30
40
30아
20
20
10
10
3
(c) Find the times when the ball is 15 ft above the ground. (Round your answers to one decimal place. Enter your answers
as a comma-separated list.)
(d) What is the maximum height attained by the ball? (Round your answer to one decimal place.)
ft
Transcribed Image Text:(b) Find a polynomial model that best fits the data. (Round all numerical values to three decimal places.) Graph it on the scatter plot. y 7아 60 so 4아 50 4아 30 3아 20 20아 10 10 3 O-1 y 7아 50 60 50 40 30 40 30아 20 20 10 10 3 (c) Find the times when the ball is 15 ft above the ground. (Round your answers to one decimal place. Enter your answers as a comma-separated list.) (d) What is the maximum height attained by the ball? (Round your answer to one decimal place.) ft
A baseball is thrown upward, and its height measured at 0.5-second intervals using a strobe light. The resulting data are given
the table. (Let y be the height of the baseball in ft and x the time in seconds since it is thrown.)
Time (s)
Height (ft)
4.2
0.5
26.1
1.0
40.1
1.5
46.0
2.0
43.9
2.5
33.7
3.0
15.8
(a) Draw a scatter plot of the data.
y
7아
5아
60
40
50
40
30
30
20
20
10
10
O-1
2
2
3
3
7아
60
40
50
30
40
30
20
20
10
10
O-1
What degree polynomial is appropriate for modeling the data?
(b) Find a polynomial model that best fits the data. (Round all numerical values to three decimal places.)
Transcribed Image Text:A baseball is thrown upward, and its height measured at 0.5-second intervals using a strobe light. The resulting data are given the table. (Let y be the height of the baseball in ft and x the time in seconds since it is thrown.) Time (s) Height (ft) 4.2 0.5 26.1 1.0 40.1 1.5 46.0 2.0 43.9 2.5 33.7 3.0 15.8 (a) Draw a scatter plot of the data. y 7아 5아 60 40 50 40 30 30 20 20 10 10 O-1 2 2 3 3 7아 60 40 50 30 40 30 20 20 10 10 O-1 What degree polynomial is appropriate for modeling the data? (b) Find a polynomial model that best fits the data. (Round all numerical values to three decimal places.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 1 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,