# Bouncing Ball Question

Lee Way was conducting an experiment with a new mega ball. Use the following tables of values to complete the question for Part I
(A) Identify the independent variable and the dependent variable.
x=_________________ y=_____________

(C) What is the rebounding height if the ball is dropped from 10 feet

(D) If the ball was dropped from n feet, how high would it bounce?

(E) Is this graph discrete or continuous? Support your conclusion using words, graph, and or diagram.

Part 2: Lee Way wanted to know how long his megaball will bounce. Use the information from Part I, complete the following question:

(A) What is the rebound ratio of the megaball. (hint:rebound ratio=rebound height/starting height).

(B) What is the height of the ball after the 5th bounce if the ball is dropped from 10 feet?

(C) What is the height of the ball after the nth bounce?

(D) Starting at 10 feet height make the table and draw a graph of the predicted rebound height for each bounce on based on the rebound ratio that you calculated in (A).

(E) Should the points on your graph be connected?

(F) Is this graph discrete or continuous? Support your conclusion using words, graphs, and or diagram.

See attached file for full problem description.

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Elisabeth Nicholson, PhD (IP)

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Active since 2006

BA in Anthropology and Mathematics, Barnard College, Columbia University
PhD in Evolutionary Biology, Northwestern University

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