1. Consider the data shown in Table 2 below. This data describes the position of a different person walking in front of a motion detector as a function of time. Plot the data points on the axes below, with position on the vertical axis and time on the horizontal axis. This time, you should notice that the data points do not form a straight line. Table 2. Position vs. Time Data, Second Trial time elapsed, in seconds time squared, in seconds squared position, in meters 0.51 0.33 1.08 1.62 1.66 3.54 2.10 5.61 2.56 8.35 3.18 12.81 3.59 16.29 4.07 20.88 position (m) 18 16+ 14+ 12+ 10+ 8 6. 4 + 2+ time (s) 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 3. Now the data points on your plot should form a straight line (this process is called linearizing the data). Draw the best-fit line on your plot. Calculate the slope of the line, rounding to 3 significant figures. Show your work and record your result below. 20

1. Consider the data shown in Table 2 below. This data describes the position of a different person walking in front of a motion detector as a function of time. Plot the data points on the axes below, with position on the vertical axis and time on the horizontal axis. This time, you should notice that the data points do not form a straight line. Table 2. Position vs. Time Data, Second Trial time elapsed, in seconds time squared, in seconds squared position, in meters 0.51 0.33 1.08 1.62 1.66 3.54 2.10 5.61 2.56 8.35 3.18 12.81 3.59 16.29 4.07 20.88 position (m) 18 16+ 14+ 12+ 10+ 8 6. 4 + 2+ time (s) 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 3. Now the data points on your plot should form a straight line (this process is called linearizing the data). Draw the best-fit line on your plot. Calculate the slope of the line, rounding to 3 significant figures. Show your work and record your result below. 20

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter1: A Physics Toolkit

Section: Chapter Questions

Problem 3STP

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1. Consider the data shown in Table 1 below. This data describes the position of a person walking in front of a motion detector as a function of time. That is, at each time shown, the person's distance from the motion detector is given. Plot the data points on the axes below, with position on the vertical axis and time on the horizontal axis. Table 1. Position vs. Time Data, First Trial position, in meters time elapsed, in seconds 4.04 1.19 4.61 2.09 5.40 3.15 6.06 4.07 6.96 5.14 7.73 6.09 7.14 8.47 9.21 8.15 position (m) 10 8 7 6 4 3 2 time (s) + 7 8 9 + + + 1 2 3 4 5 1.
1. Consider the data shown in Table 1 below. This data describes the position of a person walking in front of a motion detector as a function of time. That is, at each time shown, the person's distance from the motion detector is given. Plot the data points on the axes below, with position on the vertical axis and time on the horizontal axis. Table 1. Position vs. Time Data, First Trial position, in meters time elapsed, in seconds 4.04 1.19 4.61 2.09 5.40 3.15 6.06 4.07 6.96 5.14 7.73 6.09 7.14 8.47 9.21 8.15 position (m) caper ped 8. 7 2 time (s) + 3 4 5 6 7 + 1 2 8 9. 10 6 4)
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