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Context 10 - One Good Bounce

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Last updated almost 2 years ago
29 questions
Note from the author:
MMR Resources
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Question 1
1.

Sketch a graph to illustrate your prediction of the functional relationship.

Question 2
2.

Collect your data

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Question 3
3.

Enter your data on stapplet:
https://stapplet.com/quant2v.html?inf=test&authuser=0
Does your prediction match the scatter plot in #2? Mention some things in the prediction that were correct and some things that need revised.

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Question 9
9.

Using your video or chart on #2, what was the height of the ball 0.1 seconds into the bounce?

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Question 15
15.

Using your equation from question 5 above, What was the height of the ball 0.1 seconds into the bounce? (Hint: Graph your equation from #5 here and plug 0.1 in for x in the equation)

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Question 21
21.

How do your answers from questions #9-14 compare to your answers from questions #15-20? Explain any differences you see.

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Question 28
28.

At what time was the ball back on the ground according to the video?

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Question 29
29.

Graph your quadratic equation to verify your solutions to #28. What time does the equation show the ball back on the ground?

Question 4
4.

What type of a function is your model?

Question 5
5.

Record the function (equation) of your model.

Question 6
6.

Explain the context of the independent and dependent variables (including units) and the appropriate domain and range for the function.

Question 7
7.

Screenshot and upload the image of your graph from Stapplet using the image tool or cut and paste.

Question 8
8.

What mathematical term would describe the shape of the graph of your model?

Question 10
10.

Using your video or chart on #2, what was the height of the ball 0.33 seconds into the bounce?

Question 11
11.

Using your video or chart on #2, what was the height of the ball 4 seconds into the bounce? (Or did this even happen?)

Question 12
12.

Using your video or chart on #2, When was the ball at a height of 20 cm? (You may need to convert cm to inches)

Question 13
13.

Using your video or chart on #2, when was the ball at a height of 6 inches?

Question 14
14.

Using your video or chart on #2, When was the ball at a height of 12 feet? (You may need to convert feet to inches)

Question 16
16.

Using your equation, What was the height of the ball 0.33 seconds into the bounce?

Question 17
17.

Using your equation, What was the height of the ball 4 seconds into the bounce?

Question 18
18.

Using your equation, When was the ball at a height of 20 cm? (You may need to convert cm to inches)
(Hint: plug the height in for "y" in the equation)

Question 19
19.

Using your equation, When was the ball at a height of 12 feet? (You may need to convert feet to inches)

Question 20
20.

Using your equation, When was the ball at a height of 6 inches?

Question 22
22.

Which (the video or the equation) do you think is the best to use to answer these questions and why?

Question 23
23.

How long was the ball in the air during the bounce? When describing the time in the air during the bounce, would domain (x axis), range (y axis), or intercepts best describe it and why?

Question 24
24.

What mathematical term is used to describe the set of heights?

Question 25
25.

What was the maximum height of the ball during the bounce and when did it occur?

Question 26
26.

What are the coordinates of the vertex of the parabola? (Hint: Graph the equation from #5 in Desmos and then click on the vertex aka the highest or lowest point).

Question 27
27.

Look at the graph of the model. When was the ball travelling the fastest? When was it traveling the slowest? How can you tell?