Height with respect to time data
f(x)=.012x^21.86x+73
10
20
30
40
50
60
70
10
20
30
40
50
60
70
Time (s)
Height (cm)
(0,73)
(5,63.5)
(10,55.5)
(15,47.6)
(20,39.8)
(25,33.6)
(30,27.4)
(35,22.1)
(40,17.4)
(45,13.4)
(50,9.8)
(55,6.8)
(60,4.9)
(65,2.6)
(70,1.5)
(75
Donovan Miske
MTH 132 Keller
Friday, January 16, 2009
Water Flow Summary
A functional and relative introduction to the fundamentals of calculus was
explored via the water flow project. The foundation of this experiment employs some
basic physics involving the mechanics of fluids. A tube with a tiny hole in the bottom is
topped with water and due to pressure differences and gravity the water flows out of the
tube. The interesting part here that’ll allow is to explore calculus was that the water didn’t
flow at a linear rate. If you were to employ Bernoulli’s equation or Poiseulle’s equation
you could determine what all the parameters are in get some neat data but we explored
the basics of instantaneous rate of change vs. average rate of change.
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 Spring '08
 Julies
 Calculus, Derivative, instantaneous rate, Donovan Miske

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