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Question 9438: The task is to determine a relationship between the height that the tennis ball is dropped to the height that it bounces.
The variables include:
Independent variable (what you choose to change).
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How are you going to measure this.
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Dependent variable (what is affected by your chosen change).
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How are you going to measure this.
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Number of trials that needs to be performed. (And explaining why that many trials)
Please explain exactly what you are going to do. By using a step-by-step set up.
If you would.
As well as creating a data table that will allow you to display the information that you have collected in an easy to understand format.
In the end,please, summarize the data that was collected and the sources of the errors that were found. Thank-you for being a dedicated tutor.
Answer by prince_abubu(198)   (Show Source):
You can put this solution on YOUR website! You would need some kind of measuring tool you could stick on the wall. Measuring tape seems good because it's pretty long, flexible, and you could tape it to the wall. Another reason why its good is because it's in 1 type of unit (inches or centimeters, depending on what side of the tape you use). This eliminates one task (aka, someone's job to hold it up and it's always not steady this way anyway).
Since the tennis ball has a diameter, your team needs to decide how to determine the height of the tennis ball. Are you guys going to consider the top of the tennis ball to be its height as you level your eyes to the top of it right in front of the tape measure? Will the height of the ball be the center of the ball at point of release or bounce height?
You guys probably know already that your independent variable is the height of release. You have every right to release the ball at any height you want. The height, though, that the ball will bounce back will be determined by things you can't control such as the texture of the floor you're bouncing the ball off, the tennis ball's "bounce qualities", air resistance, and acceleration due to gravity.
Let's get to the gathering data. Make a T-table with the release height on the left column and the bounce height on the right column. It's best to start with your shortest release height. Don't make it so short that it will be too hard to observe the bounce back height due to the short time it will take. Record your release height and bounce back height as an ordered pair on your T-table. For each subsequent trial, increase your release height by equal increments.
Note: The bounce back height is tougher to obtain because the ball is literally at its maximum height for an extremely small increment of time. A split second of a "miss" will be a significant source of your error. Another source of your error is your observer's point of view. His/her position (lateral and vertical angle, distance) from the scene can greatly affect the readout of the height of the ball's bounce. (This is the same thing that happens when you're driving and your passenger to your right thinks that you're driving at a slower speed than you really are because the speed needle lines up with a slower speed's mark from where he/she's looking at).
I personally don't have the materials handy, and I hope I gave you what you needed so far, at least as a starting point. HOWEVER, I think there's something that you might want to get at with this project. Why in the first place would you need to release the ball from different heights? Maybe perhaps you're trying to find that constant of variation that works for all heights. In other words, you'll find that single number that you would multiply to your release height (independent variable) to obtain the bounce-back height. Since there are so many possible errors, you will not always get the same exact constant of variation, however, your constant of variations should be close enough (how close is close enough? That's up to you guys to decide). Once you found this value, you can make a good guess on what the bounce-back height would be if you were to release the ball again at a different height that you didn't record. I think the key thing here is to find trends and be able to predict future outcomes.
BTW, the constant of variation is found by taking the release height and dividing it by the bounce back height. For each pair of release and bounce back height, your quotients should come out fairly close to each other.
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