For the Ball Drop 2 experiment, observe the graph of the vertical displacement of the small ball against time (y vs. t). What can you say about the vertical displacement of the small ball? What graph shape is this? What does this shape tell you about the mathematical relationship between y and t? Now check your hypothesis by investigating two Tracker videos: Ball Drop and Large Ball Drop.

Open the Tracker experiment: Ball Drop . Watch the movie by clicking on the green play button. (The other video controls allow you to “rewind” the video or step forward or backward one frame at a time.). Watch the video to go ahead with the activity.

Now, keep the Ball Drop video open, and also open the Tracker experiment Large Ball Drop and watch that video.

Find the steady-state temperature at the center of the plate = /2, = /2) for sums of w from n=1 to n=19 (only odd values). find the value of n for which the change in /2, /2) is less than 1% from the value at the previous n. at this point, we consider the solution converged. does the value of the temperature at the center seem reasonable? in this part, the values of x and y are constant scalar values. you should produce a plot of the value of n on the horizontal and the estimate of the temperature at the center of the plate on the vertical. b. using the value of n (or larger) that resulted in convergence in part (a), create a contourf plot of the temperature distribution across the entire plate. use enough spatial subdivisions to create a useful plot. comment on the results. hint: you need to determine what “x” and “y” values to use to make your t matrix. i recommend using a different number of x and y values. use enough x and y values so that the plot is “smooth”.