Math 56
Worksheet 7
October 10
1. The Reduced-Gravity Program operated by NASA provides astronauts with the unique weightless or zero-g environment of space flight for tests and training. The program uses a specifically modified KC-1 35A turbojet transport that flies on a parabolic path along the data apt(p) in the hedge.
|Time (Seconds) |10 |20 |32 |45 |60 |
|Altitude (thousands of feet) |26 |31 |32.5 |31 |25 |
a) Find an equation for a model of these data. Be reliable to use methods from class, which include designating variables and showing work.
b) Using your model, find the natural elevation of the plane after 25 seconds.
c) Give a well-founded domain and range for your model.
d) According to your model, when would the planes altitude be 10,000 feet?
e) What is the vertex of your model, and what is its meaning in the context of this paradox?
2. A national park visitor left a trail near the top of a waterfall to posture a better look at the falls. Against the complaints of her companions, she started tossing rocks over the rim onto the trail at the bottom of the falls, 92 feet below.
The following table gives the height of the rock above the path at the rich of the falls for the first 0.80 seconds of its flight.
|Time after rock is throw in seconds |0.00 |
|0.00 | |
|0.
50 | |
|1.00 | |
|1.50 | |...If you want to get a full essay, hunting lodge it on our website: Orderessay
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