2. The Great Grade 11 Bouncing Ball Experiment

3. So Far, all of our work on graphs has been directed towards linear and quadratic relationships.

4. These relationships represent only a small (but important) part of the overall topic of modeling. There are numerous other models that are used in mathematics

5. The Quadratic E = mc 2

6. The Cubic

7. Periodic Functions

8. Cardioid Four Leaf Lemicon

9. Mobius Transformation

11. A bouncing ball provides and excellent illustration of an Exponential relationship.

12. Copy and complete the chart below: Trial 1 Trial 2 Trial 3 Average trials Height (cm) (no decimals) Initial HeightNA Height after 1 bounce Height after 2 bounces Height after 3 bounces Height after 4 bounces Height after 5 bounces Height after 6 bounces 173171 178 174 300 154 151 160 155 Decay Factor H1/iH H2/H1 H3/H2 Etc…

13. Draw the graph Average Height VS Number of Bounces Average Height Number of bounces 01234560123456 300 cm Don’t forget to plot the initial height

14. 1.Write the exponential model that describes the decay of the basketball you used. H f =H i (X) n 2. Does it make sense that the reflection height decays at the same rate every bounce? Explain. 3. The moon has about 80% less gravity than Earth. How do you think your data would change if you repeated the experiment on the lunar surface?

15. Each person, hand in the completed graph, table, and answered questions once you finish.

16. Responses will vary but should be close to a 0.67 rebound factor!