Question

0.12 0.1 0.08 0.06 0.04 0.02 0.15 0.2 0.25 0.3 0.05 0.1 1/telapsed (1/sec) O O O O O O Vinal (miles/sec)

The above graph plots final velocity on the vertical axis and \frac{1}{elapsed\:time}1 e l a p s e d t i m e on the horizontal axis. It is easier to draw a Constant Acceleration Line (e.g., the two upwardly sloping lines) on this graph than it would be to draw a Constant Acceleration Line on a graph that used identical data, but had "elapsed time" on the horizontal axis, because:

A. Using $\frac{1}{elapsed\:time}$ 1elapsedtime  gives you a straight Constant Acceleration Line. Using Elapsed Time gives you a curved Constant Acceleration Line.

B. Using Elapsed Time would cause some data points to be missing because they would be off of the scale of the chart

C. Using Elapsed Time produces a chart whose data points vary randomly, so no Constant Acceleration Line can be drawn which would describe their behavior.

Answer 1

The data are varying with respect to time since no constant acceleration can be drawn on the plot. For solving these data regression method is used. Option C is correct.