A jet flies in a parabolic arc to simulate partial weightlessness. The curve shown in the figure represents the plane's height y (in 1000 ft) versus the time t (in sec). a. For each ordered pair, substitute the t and y values into the model y = at2 + bt + c to form a linear equation with three unknowns a, b, and c. Together, these form a system of three linear equations with three unknowns. b. Use a graphing utility to solve for a, b, and c. c. Substitute the known values of a, b, and c into the model y = at2 + bt + c. d. Determine the vertex of the parabola. e. Determine the focal length of the parabola. (0, 32) (20, 24) (40, 24) Time (sec) Height (1000 ft)
A jet flies in a parabolic arc to simulate partial weightlessness. The curve shown in the figure represents the plane's height y (in 1000 ft) versus the time t (in sec). a. For each ordered pair, substitute the t and y values into the model y = at2 + bt + c to form a linear equation with three unknowns a, b, and c. Together, these form a system of three linear equations with three unknowns. b. Use a graphing utility to solve for a, b, and c. c. Substitute the known values of a, b, and c into the model y = at2 + bt + c. d. Determine the vertex of the parabola. e. Determine the focal length of the parabola. (0, 32) (20, 24) (40, 24) Time (sec) Height (1000 ft)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:A jet flies in a parabolic arc to simulate partial weightlessness. The curve shown in the figure represents the plane's height
y (in 1000 ft) versus the time t (in sec).
a. For each ordered pair, substitute the t and y values into the model y = at2 + bt + c to form a linear equation with three
unknowns a, b, and c. Together, these form a system of three linear equations with three unknowns.
b. Use a graphing utility to solve for a, b, and c.
c. Substitute the known values of a, b, and c into the model y = at2 + bt + c.
d. Determine the vertex of the parabola.
e. Determine the focal length of the parabola.
(0, 32)
(20, 24)
(40, 24)
Time (sec)
Height (1000 ft)
Expert Solution
(a) given
Calculation:
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Step 4
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