1:12 A onramps.instructure.com 2. A ball is dropped from a height of 30 feet. After hitting the ground, it rebounds to a height of 75% of the previous distance it fell. a. On the axes below, create a graph that shows the path of the ball where h the height of the ball is a function of the bounce number of the ball starting with bounce O (the height from which the ball was dropped). Mark the points that correspond to the height of the ball at each of the first 10 bounces after the initial drop height. ex 11.5 axes.png

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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1:12
A onramps.instructure.com
2. A ball is dropped from a height of 30 feet.
After hitting the ground, it rebounds to a
height of 75% of the previous distance it
fell.
a. On the axes below, create a graph that
shows the path of the ball where h the
height of the ball is a function of the
bounce number of the ball starting with
bounce 0 (the height from which the ball
was dropped). Mark the points that
correspond to the height of the ball at
each of the first 10 bounces after the
initial drop height.
ex 11.5 axes.png
Transcribed Image Text:1:12 A onramps.instructure.com 2. A ball is dropped from a height of 30 feet. After hitting the ground, it rebounds to a height of 75% of the previous distance it fell. a. On the axes below, create a graph that shows the path of the ball where h the height of the ball is a function of the bounce number of the ball starting with bounce 0 (the height from which the ball was dropped). Mark the points that correspond to the height of the ball at each of the first 10 bounces after the initial drop height. ex 11.5 axes.png
1:12
A onramps.instructure.com
b. Fill in the table below corresponding to the
height of the ball as a function of bounce
number.
Bounce
Height
1
2
3
4
6
7
8
9
10
c. Use function patterns to decide what type
of function this is. Justify your claim.
d. Now find the particular function that
represents your data. Although your data is
discrete (i.e. not continuous), we will treat
our function as a continuous function.
e. Now check your answer to problem 2d. by
conducting a regression on the data based
on your function pattern decision.
f. Lastly, use your sequence of bounce
heights to create a series that determines
the total distance the ball travels UP AND
DOWN from the initial drop to the end of
the 10th bounce. Assume the ball actually
bounces exactly straight up and down with
each bounce. What type of series is this?
Transcribed Image Text:1:12 A onramps.instructure.com b. Fill in the table below corresponding to the height of the ball as a function of bounce number. Bounce Height 1 2 3 4 6 7 8 9 10 c. Use function patterns to decide what type of function this is. Justify your claim. d. Now find the particular function that represents your data. Although your data is discrete (i.e. not continuous), we will treat our function as a continuous function. e. Now check your answer to problem 2d. by conducting a regression on the data based on your function pattern decision. f. Lastly, use your sequence of bounce heights to create a series that determines the total distance the ball travels UP AND DOWN from the initial drop to the end of the 10th bounce. Assume the ball actually bounces exactly straight up and down with each bounce. What type of series is this?
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