# 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=_____________

(B) Graph your results

(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.

#### Solution Preview

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=_____________

The starting height is the x variable (independent) because that is what you control. The rebound height is the y variable (dependent) because that is dependent on the starting height.

(B) Graph your results

I graphed them in Excel.

The points are not perfectly linear, but they are very close.

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

Ten feet is the same as 120 in. The graph doesn't show that point, but we can guess based on the results we have.

If we look at the numbers we get by dividing the rebound height by the starting height, we get the following results:

Starting Height 70 60 50 40 30 20 10

Rebound Height 40 34 29 23 17 11 6

Rebound/Starting 0.571429 0.566667 0.58 0.575 0.566667 0.55 0.6

When you divide the ...

#### Solution Summary

The solution includes answers and complete explanations (including graphs) to the questions.