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How to find the global equation of a dual curve?

How do you find the equation of a curve on a position-time graph?

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    Kind of hard to understand specifically what UR asking for? I'll make a couple of comments - maybe will help. A "curve" in graphing is any relationship that can be plotted. Therefore a straight line, both horizontal (meaning y = constant for all x) or inclined (meaning "y = mx + b" relationship) are considered "curves" in the mathematical jargon sense. IF U've got a horizontal straight line (curve) for a plot of V-t and UR asking what the relationship (equation) is for P-t, it's 'one power' of t higher. So if V = k {where k = constant} for the V-t plot - here the power of t = 0, then the P-t plot would be in the form of "P = kt + b" where the power of t = 1 also whether or not "b" existed could NOT be determined from the plot of V-t alone, U'd need 'initial conditions' to determine that.

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Kind of hard to understand specifically what UR asking for? I'll make a couple of comments - maybe will help. A "curve" in graphing is any relationship that can be plotted. Therefore a straight line, both horizontal (meaning y = constant for all x) or inclined (meaning "y = mx + b" relationship) are considered "curves" in the mathematical jargon sense. IF U've got a horizontal straight line (curve) for a plot of V-t and UR asking what the relationship (equation) is for P-t, it's 'one power' of t higher. So if V = k {where k = constant} for the V-t plot - here the power of t = 0, then the P-t plot would be in the form of "P = kt + b" where the power of t = 1 also whether or not "b" existed could NOT be determined from the plot of V-t alone, U'd need 'initial conditions' to determine that.

Jim

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