Mathematical Modeling A videotape of the path of a ball

Chapter 7, Problem 7.4.80

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Mathematical Modeling A videotape of the path of a ball thrown by a baseball player was analyzed with a grid covering the TV screen. The tape was paused three times, and the position of the ball was measured each time. The coordinates obtained are shown in the table (x and y are measured in feet). (a) Use a system of equations to find the equation of theparabola that passes through thepoints. Solve the system using matrices.(b) Use a graphing utility to graph the parabola.(c) Graphically approximate the maximum heightof the ball and the point at which the ball strikes theground.(d) Algebraically approximate the maximum height of theball and the point at which the ball strikes the ground.

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