Download The Bungee Jump Activity with TI

The Bungee Jump Activity with TI-84
(Damped Harmonic Motion)
Part I – Collecting the Data
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Connect the CBR to your calculator and set the CBR on the ground.
Set up your bungee jumper so that it will not get closer than 0.2 m to the CBR.
From the APPS menu on your calculator, choose CBL/CBR then Ranger.
From the Ranger Main Menu choose Setup Sample and make sure that you have the
following settings:
 Realtime: NO
 Time(s): 9
 Display: DIST
 Begin on: ENTER (or DELAY if you are working alone)
 Smoothing: NONE
 Units: METERS
Move your cursor back to the top so that the arrow is on Start Now and press ENTER.
Get the bungee jumper going and press ENTER on the calculator - remember to hold the top of the bungee cord
still while the data is being collected.
Repeat the experiment as needed until you are satisfied with your data. It should look something like this:
The data will be stored in L1 and L2.
Transfer the data to your partners by sending L1 and L2 (choose overwrite if
prompted).
Each member of the group should set up their StatPlot so that they have a scatter
plot (not an xyLine) with L1 as the x-list and L2 as the y-list and points (not boxes
or crosses).
 Your task in Part II will be to find an equation that models this data.
The Bungee Jump Activity
Part II – Modeling the Data
Your data is sinusoidal but the amplitude decreases with each wave. To model it you first need to determine the
sinusoidal model that fits the data.
General sinusoidal equation: y = _______________________________
1. Determine the phase shift
2. Determine the period
 the value of _____ in the equation will be ______
3. Determine the vertical translation
Bungee Jump
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4. Estimate the amplitude of one of the waves and use that in your equation in order to see whether your model fits
the data.
Sinusoidal equation: y = _______________________________
5. The amplitude is not constant. Record the coordinates of each relative maximum point below and decide what type
of model to use for this data. Enter this data in Lists 3 & 4.
x
Maximum
y-value
6. To use the regression feature of the calculator: create a new column of data. To do this:
 Take the mean of a maximum and minimum near the end of your data
 Go to List 5 and enter a formula: L4 - the value you just found
 Perform the appropriate regression on L3 & L5 and store the equation in Y2. Turn the equation off.
7. Use your new equation as the amplitude.
Equation: y = ____________________________________
Here are my results for the above data:
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