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The GreatGrade 11
Bouncing Ball Experiment
So Far, all of our work on graphs has been directed towards linear
and quadratic relationships.
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
The Quadratic
E = mc2
The Cubic
Periodic Functions
Cardioid Four Leaf
Lemicon
Mobius Transformation
A bouncing ball provides and excellent illustration of an Exponential relationship.
Copy and complete the chart below:
Trial 1
Trial 2
Trial 3
Average trials
Height (cm) (no decimals)
Initial Height NA NA NAHeight after 1 bounceHeight after 2 bouncesHeight after 3 bouncesHeight after 4 bouncesHeight after 5 bouncesHeight after 6 bounces
173 171 178 174300
154 151 160 155
Decay
Factor
H1/iH
H2/H1
H3/H2
Etc…
Draw the graph
Average Height VS Number of Bounces
Average
Height
Number of bounces0 1 2 3 4 5 6
300 cmDon’t forget to plot the initial height
1. Write the exponential model that describes the decay of the basketball you used.
Hf=Hi(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?
Each person, hand in the completed graph, table, and answered questions once you finish.
Responses will vary but should be close to a 0.67 rebound factor!