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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)

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.1: Introduction To Systems Of Linear Equations
Problem 71E: Find a system of two equations in two variables, x1 and x2, that has the solution set given by the...
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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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