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DATA TABLE Number of books 1 2 3 1 2 3 Height of books, h (m) 0.76 0-115 0.154 Number of Height of books books, h (m) 0.076 0.115 0.154 Length of incline, x (m) 0.8 0.8 0.8 Length of incline, x (m) 0.8 0.8 0.8 Data using ball sin(8) trial 1 (m/s²) sin(8) 7.64 15. 15 15.86 Data using cart trial 1 (m/s²) 2.226 3.518 4.17 Determining g on an Incline Acceleration trial 2 (m/s²) 7.64 7.55 16.58 13.09 19.62 21.14 Acceleration trial 2 (m/s²) trial 3 (m/s²) 2.328 3.815 4.08 trial 3 (m/s²) 2.299 3.640 4.08 Average acceleration (m/s²) 7.61 14.94 18.87 Average acceleration (m/s²) 2.284 3.658 4.11

DATA TABLE Number of books 1 2 3 1 2 3 Height of books, h (m) 0.76 0-115 0.154 Number of Height of books books, h (m) 0.076 0.115 0.154 Length of incline, x (m) 0.8 0.8 0.8 Length of incline, x (m) 0.8 0.8 0.8 Data using ball sin(8) trial 1 (m/s²) sin(8) 7.64 15. 15 15.86 Data using cart trial 1 (m/s²) 2.226 3.518 4.17 Determining g on an Incline Acceleration trial 2 (m/s²) 7.64 7.55 16.58 13.09 19.62 21.14 Acceleration trial 2 (m/s²) trial 3 (m/s²) 2.328 3.815 4.08 trial 3 (m/s²) 2.299 3.640 4.08 Average acceleration (m/s²) 7.61 14.94 18.87 Average acceleration (m/s²) 2.284 3.658 4.11

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 25EQ
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a) Draw a best-fit line by hand or use the linear-regression feature of Graphical Analysis, and determine the slope. The slope can be used to determine the acceleration of the ball on an incline of any angle. b) Repeat the analysis for the low friction dynamics cart.
DATA TABLE Number of books 1 2 3 Number of books 1 2 3 Height of books, h (m) 0.76 0-115 0.154 Height of books, h (m) 0.076 0.115 0.154 Length of incline, x (m) 0.8 0.8 0.8 Length of incline, x (m) 0.8 0.8 Data using ball sin(6) trial 1 (m/s²) sin(8) 7.64 IS. IS 15.86 Data using cart trial 1 (m/s²) 2.226 3.518 4.17 Determining g on an Incline Acceleration trial 2 (m/s²) trial 3 (m/s²) 7.64 7.55 16.58 13.09 19.62 Acceleration trial 2 (m/s²) 21.14 trial 3 (m/s²) 2.328 2.299 3.815 3.640 4.08 4.08 Average acceleration (m/s²) 7.61 14.94 18.87 Average acceleration (m/s²) 2-284 3.658 4.11
Transcribed Image Text:DATA TABLE Number of books 1 2 3 Number of books 1 2 3 Height of books, h (m) 0.76 0-115 0.154 Height of books, h (m) 0.076 0.115 0.154 Length of incline, x (m) 0.8 0.8 0.8 Length of incline, x (m) 0.8 0.8 Data using ball sin(6) trial 1 (m/s²) sin(8) 7.64 IS. IS 15.86 Data using cart trial 1 (m/s²) 2.226 3.518 4.17 Determining g on an Incline Acceleration trial 2 (m/s²) trial 3 (m/s²) 7.64 7.55 16.58 13.09 19.62 Acceleration trial 2 (m/s²) 21.14 trial 3 (m/s²) 2.328 2.299 3.815 3.640 4.08 4.08 Average acceleration (m/s²) 7.61 14.94 18.87 Average acceleration (m/s²) 2-284 3.658 4.11
average acceleration 14 12 10 HEN O X: dala using ball •: data using cort too t A O data using balt data using cart sine #
Transcribed Image Text:average acceleration 14 12 10 HEN O X: dala using ball •: data using cort too t A O data using balt data using cart sine #
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