Parametric Motion - Analysis

Intro | Image 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | Time Lapse | Analysis

The data is difficult to analyze in a meaningful way since no units of distance have been made available and there were not time units given. We can look at the graphs and make implications from the graphs.

The graph at the left is the graph of the y position vs the x position. The ball starts in the upper right corner. Each dot moving down and to the left is the position of the ball at the next slide.

Compare the change in x position between the dots. Does the change in the x position appear to change or does it appear to be constant?

What about the change in the y-position? Is it constant between the dots? Does it change? If so, how is it changing?

 

The graph of the x position vs time (slide # since the time between the slides is constant) is shown at the right. What model fits the data? What does this model imply about the motion of the ball in the x-direction?

 

The graph of the y position vs time is shown at the left. What type of mathematical model might be used to fit this data? What does this mathematical model imply for the motion of the object?

Answers

First Slide

Time Lapse Slide - All positions of the ball shown on a single slide.