Bouncing Ball Question
Not what you're looking for?
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.
Purchase this Solution
Solution Summary
The solution includes answers and complete explanations (including graphs) to the questions.
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 ...
Purchase this Solution
Free BrainMass Quizzes
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.