Part C From the coordinates obtained in Part B, find the slope of the position-time relationship for the bowling ball using the "rise over run" algorithm. ▸ View Available Hint(s) 2.5m 0.40m/s 2.5m/s 0.40 s Submit Previous Answers Part D Correct Note that the slope of the relationship obtained by the "rise over run" algorithm is just the value of vo. In the position-time relationship for the bowling ball, vo plays the role of m in the linear relationship of the general form y = mx + b. Also, there is nothing special about the times used for this evaluation: any two distinct points would have resulted in the same value for the slope, since the slope of a linear relationship is constant. If a relationship is not linear, though, the slope is no longer constant and the value obtained by the "rise over run" algorithm does depend on which points are chosen. That's why the "rise over run" algorithm is not effective to evaluate the slope of relationships that are not linear and where differentiation is applied instead. dx What is the derivative with respect to time of the bowling ball's position-time relationship (x(t) = vot+x0, where vo 2.5m/s and x0 = −5.0m)? dt ▸ View Available Hint(s) -2.5m ○ -5.0m ○ 2.5m/s 0.0 m/s

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Part C
From the coordinates obtained in Part B, find the slope of the position-time relationship for the bowling ball using the "rise over run" algorithm.
▸ View Available Hint(s)
2.5m
0.40m/s
2.5m/s
0.40 s
Submit
Previous Answers
Part D
Correct
Note that the slope of the relationship obtained by the "rise over run" algorithm is just the value of vo. In the position-time relationship for the bowling ball, vo plays the role of m in the linear relationship of the general form y = mx + b. Also, there is nothing special about the times
used for this evaluation: any two distinct points would have resulted in the same value for the slope, since the slope of a linear relationship is constant. If a relationship is not linear, though, the slope is no longer constant and the value obtained by the "rise over run" algorithm does
depend on which points are chosen. That's why the "rise over run" algorithm is not effective to evaluate the slope of relationships that are not linear and where differentiation is applied instead.
dx
What is the derivative with respect to time
of the bowling ball's position-time relationship (x(t) = vot+x0, where vo 2.5m/s and x0 = −5.0m)?
dt
▸ View Available Hint(s)
-2.5m
○ -5.0m
○ 2.5m/s
0.0 m/s
Transcribed Image Text:Part C From the coordinates obtained in Part B, find the slope of the position-time relationship for the bowling ball using the "rise over run" algorithm. ▸ View Available Hint(s) 2.5m 0.40m/s 2.5m/s 0.40 s Submit Previous Answers Part D Correct Note that the slope of the relationship obtained by the "rise over run" algorithm is just the value of vo. In the position-time relationship for the bowling ball, vo plays the role of m in the linear relationship of the general form y = mx + b. Also, there is nothing special about the times used for this evaluation: any two distinct points would have resulted in the same value for the slope, since the slope of a linear relationship is constant. If a relationship is not linear, though, the slope is no longer constant and the value obtained by the "rise over run" algorithm does depend on which points are chosen. That's why the "rise over run" algorithm is not effective to evaluate the slope of relationships that are not linear and where differentiation is applied instead. dx What is the derivative with respect to time of the bowling ball's position-time relationship (x(t) = vot+x0, where vo 2.5m/s and x0 = −5.0m)? dt ▸ View Available Hint(s) -2.5m ○ -5.0m ○ 2.5m/s 0.0 m/s
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