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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)

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 15AEXP
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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)
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)
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