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 4아 50 30 40 30 20 20 10 10 O-1 1 3 O-1 1 2. 3 y y 7아 5아 60 40 50 30 40 30 20 20 10 10 O-1 3 1 3 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.) y = Graph it on the scatter plot. y y 7아 5아 60 40 50 30 40 30 20 20 10 10 O-1 1 3 0-1 2 3 y y 7아 50 60 40 50 30 40 30 20아 20 10 10 2 '3 2 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.) y = 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 4아 50 30 40 30 20 20 10 10 O-1 1 3 O-1 1 2. 3 y y 7아 5아 60 40 50 30 40 30 20 20 10 10 O-1 3 1 3 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.) y = Graph it on the scatter plot. y y 7아 5아 60 40 50 30 40 30 20 20 10 10 O-1 1 3 0-1 2 3 y y 7아 50 60 40 50 30 40 30 20아 20 10 10 2 '3 2 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.) y = ft
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4
Transcribed Image Text:MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
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
50-
70
60
40
50
40
30
30
20
20
10
10
0-1
1
3
O-1
1
2
3
y
y
70
50
60
40
50
30
40
30
20
20
10
10
O-1
O-1
1
3
1
2
3
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.)
y =
Graph it on the scatter plot.
y
y
70
50
60
40
50
40
30
30
20
20
10
10
O-1
1
3
0-1
2
3
y
y
70
50
60
40
50
30
40
30
20
0
20
10
10
O-1
3
2
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.)
y =
ft
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