![]() Then you must include on every physical page the following attribution: If you are redistributing all or part of this book in a print format, Want to cite, share, or modify this book? This book uses the The velocity increases until 55 s and then becomes constant, since acceleration decreases to zero at 55 s and remains zero afterward. 0 m/s 2 to zero when the car hits 250 m/s. (This was the final velocity of the car in the motion graphed in Figure 2.48.) Acceleration gradually decreases from 5. Time again starts at zero, and the initial velocity is 165 m/s. Now consider the motion of the jet car as it goes from 165 m/s to its top velocity of 250 m/s, graphed in Figure 2.51. Graphs of Motion Where Acceleration is Not Constant Further experiments are then performed to determine the validity of the hypothesized relationships. From such graphs, mathematical relationships can sometimes be postulated. Correlations imply physical relationships and might be shown by smooth graphs such as those above. In fact, an important way to discover physical relationships is to measure various physical quantities and then make graphs of one quantity against another to see if they are correlated in any way. ![]() ![]() It is not accidental that the same equations are obtained by graphical analysis as by algebraic techniques. Notice that this equation was also derived algebraically from other motion equations in Motion Equations for Constant Acceleration in One Dimension. A general relationship for velocity, acceleration, and time has again been obtained from a graph. ![]()
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