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 elevator starts at the top floor 372 feet and descends without stopping at constant rate of 15 feet per second. write a function that describes the height of the elevator after seconds

 Jun 10, 2014

Best Answer 

 #4
avatar+5478 
+31

Right, CPhill! That does make more sense for this problem:)

 Jun 10, 2014
 #1
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0

haha bottom ok first take the derrivative of the quatritac formula (ax2+bx+c) and multiply by the tangent of the parabolic curve. 

 Jun 10, 2014
 #2
avatar+5478 
+29

From the given information, you already know one point on the line, as well as the slope. 

Point: (0, 372)

Slope: -15

You can now find the function by using the point-slope formula: y-y1 = m(x-x1)

Plug in the point and the slope:

y - 372 = -15 (x-0)

Add 372 to both sides.

y = -15x + 372

So f(x) = -15x + 372

 Jun 10, 2014
 #3
avatar+130466 
+8

kitty<3...I like your answer, but I might suggest one small change.... how about this??

h(t) = -15t + 372  .... where "h" is some height after "t" seconds

Using "x" makes it seem as if there's some "horizontal" component to the problem...

Does this sound reasonable ??  (Who knows...I could be crazy !!)

 

 Jun 10, 2014
 #4
avatar+5478 
+31
Best Answer

Right, CPhill! That does make more sense for this problem:)

kitty<3 Jun 10, 2014

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