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1. The following data were obtained in an experiment relating time (t) (the independent variable) to the speed (v) of an accelerating object. t (s) v (m/s) 0.5 1.0 1.5 2.0 2.5 3.0 10 15 20 25 30 35

1. The following data were obtained in an experiment relating time (t) (the independent variable) to the speed (v) of an accelerating object. t (s) v (m/s) 0.5 1.0 1.5 2.0 2.5 3.0 10 15 20 25 30 35

Advanced Engineering Mathematics
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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Directions: Using Microsoft Excel, plot the given data. Answer the questions given in each of the items. 1. The following data were obtained in an experiment relating time (t) (the independent variable) to the speed (v) of an accelerating object. 2.5 3.0 t (s) v (m/s) 0.5 1.0 1.5 2.0 10 15 20 25 30 35 (a) Determine the slope of the graph. (b) What physical quantity does the slope represent? (c) Determine the y-intercept of the graph. What does it represent? (d) What is the equation of the curve?. For #2-#6, do the following: (a) Using MS Excel, plot the given values (y vs. x) in separate worksheets. (b) Label the coordinate axes. Provide the title of the graphs. (c) Linearize the graph. If necessary, compute different powers of variables and plot until you get a straight line. (d) Determine the equation of the trendline obtained. Indicate the value of n, k, and other constants or intercepts present in the graph. (e) Save your work as SURNAME_GRAPHS.XLSX. 2. The data below shows how the electric field (E) due to a point charge varies with distance (r). 1 | 2 | 3 4 | 5 6 7 | 8| 9 1.27 Distance (r) in meters Electric Field (E) in N/C | 81.00 20.30 9.00 5.06 3.24 1.65 2.25 1.00 3. The following values represent a particle with an x-coordinate that varies in time. Time (t) in seconds 1 2 3 4 5 200 195 65 -120 Distance x in meters 160 -425 -880 -1515 4. The following values represent the motion of a particle with a y-coordinate that varies in time. Time (t) in seconds | 0 Distance (y) in meters 0 2 3 5 8 1 4 15 20 15 -25 -60 -105 -160
Transcribed Image Text:Directions: Using Microsoft Excel, plot the given data. Answer the questions given in each of the items. 1. The following data were obtained in an experiment relating time (t) (the independent variable) to the speed (v) of an accelerating object. 2.5 3.0 t (s) v (m/s) 0.5 1.0 1.5 2.0 10 15 20 25 30 35 (a) Determine the slope of the graph. (b) What physical quantity does the slope represent? (c) Determine the y-intercept of the graph. What does it represent? (d) What is the equation of the curve?. For #2-#6, do the following: (a) Using MS Excel, plot the given values (y vs. x) in separate worksheets. (b) Label the coordinate axes. Provide the title of the graphs. (c) Linearize the graph. If necessary, compute different powers of variables and plot until you get a straight line. (d) Determine the equation of the trendline obtained. Indicate the value of n, k, and other constants or intercepts present in the graph. (e) Save your work as SURNAME_GRAPHS.XLSX. 2. The data below shows how the electric field (E) due to a point charge varies with distance (r). 1 | 2 | 3 4 | 5 6 7 | 8| 9 1.27 Distance (r) in meters Electric Field (E) in N/C | 81.00 20.30 9.00 5.06 3.24 1.65 2.25 1.00 3. The following values represent a particle with an x-coordinate that varies in time. Time (t) in seconds 1 2 3 4 5 200 195 65 -120 Distance x in meters 160 -425 -880 -1515 4. The following values represent the motion of a particle with a y-coordinate that varies in time. Time (t) in seconds | 0 Distance (y) in meters 0 2 3 5 8 1 4 15 20 15 -25 -60 -105 -160
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