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This paper discussed the methods in which a velocity vs. position graph can have enough information to obtain a position vs. time graph in kinematics. The paper explains that the key to the solution is that the velocity is equal to the slope of the position vs. time graph. The paper also notes that another possibility is to use the fact that velocity is the derivative of position. The paper points out that the simplest method is using the first option.
From the Paper:"In order to determine if we can obtain a position vs. time or S-T (S = position, T = time) graph from a velocity vs. position or V-S (V = velocity, S = position) it is important to define each term. S, or position is the place where the particle (or object) is at any given time. T, or time is intuitive, meaning it is the points in time when the observations are measured. Together, the position vs. time (S-T) graph is telling us where a particular particle (or object) is positioned at any point in time. From the lecture (slide 14): On this graph we can see the position (S) at t - t (time = zero or...)"
Cite this Term Paper:
Kinematics (2007, December 01) Retrieved September 19, 2021, from https://www.academon.com/term-paper/kinematics-135836/
"Kinematics" 01 December 2007. Web. 19 September. 2021. <https://www.academon.com/term-paper/kinematics-135836/>