The side of a cylindrical can full of water springs a leak, and the water begins to stream out. (See the figure below.) The depth H, in inches, of water remaining in the can is a function of the distance D in inches (measured from the base of the can) at which the stream of water strikes the ground. Here is a table of values of D and H. Distance D in inches Depth H in inches 1.00 1.75 4.00 3 7.75 4. 13.00 D (a) Use regression to find a formula for H as a quadratic function of D. H = (b) When the depth is 3 inches, how far from the base of the can will the water stream strike the ground? inches (c) When the water stream strikes the ground 5 inches from the base of the can, what is the depth of water in the can? inches

The side of a cylindrical can full of water springs a leak, and the water begins to stream out. (See the figure below.) The depth H, in inches, of water remaining in the can is a function of the distance D in inches (measured from the base of the can) at which the stream of water strikes the ground. Here is a table of values of D and H. Distance D in inches Depth H in inches 1.00 1.75 4.00 3 7.75 4. 13.00 D (a) Use regression to find a formula for H as a quadratic function of D. H = (b) When the depth is 3 inches, how far from the base of the can will the water stream strike the ground? inches (c) When the water stream strikes the ground 5 inches from the base of the can, what is the depth of water in the can? inches

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Variation of pressure

From the equation of pressure, pressure is directly proportional to the applied force.

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The side of a cylindrical can full of water springs a leak, and the water begins to stream out. (See the figure below.) The depth H, in inches, of water remaining in the can is a function of the distance D in inches
(measured from the base of the can) at which the stream of water strikes the ground. Here is a table of values of D and H.
Distance D
in inches
Depth H
in inches
1.00
1.75
4.00
7.75
3
4
13.00
D
(a) Use regression to find a formula for H as a quadratic function of D.
H =
(b) When the depth is 3 inches, how far from the base of the can will the water stream strike the ground?
inches
(c) When the water stream strikes the ground 5 inches from the base of the can, what is the depth of water in the can?
inches

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