Blog #2: Fireworks Over Washington, D.C.
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| Fireworks over the Lincoln Memorial |
a) An example of a size of a firework shell and the height of the firework.
b) In this experiment, the height of a firework is based on the size of the firework shell.
c)
d)
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e) Calculating the slope at three different points on the graph, it will show the rate of change through the following three points:
i) 6in to 12in ii) 6in to 10in iii) 6in to 8in
i)
ii)
iii)
f) The tangent line hits at Point A (6,210) and Point Q is at Point (2.5, 150)
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g) By finding the slope for the tangent line from point A and point Q we can find an approximate height of the firework going up int the air.
At point Q, the height of the firework is going 150 meters with a 2.5 inch shell.
h) Depending on the size of a firework shell, we can determine the height of the firework. The slopes of the three secants are 23.3, 27.5, and 30. We can understand that as the shell of the fireworks gets bigger the higher the firework can go up into the air.
g) By finding the slope for the tangent line from point A and point Q we can find an approximate height of the firework going up int the air.
h) Depending on the size of a firework shell, we can determine the height of the firework. The slopes of the three secants are 23.3, 27.5, and 30. We can understand that as the shell of the fireworks gets bigger the higher the firework can go up into the air.
I enjoyed reading your explanation of the fireworks example
ReplyDeleteyou did great job in explaining the rate of change with table and chart good job!
aj,
ReplyDeletenice image of fireworks over dc! definitely made me want to read more about your application. your calculations are accurate and your graphs and tables look great! the only thing that is missing is the units for both your secant calculations and your tangent line calculation. the units should be as a rate, since the IRC is a rate of change at an exact point.
other than that, good job!
professor little