Mathematical Modeling A video of the path ofa ball thrown by a baseball player was
Chapter 8, Problem 104(choose chapter or problem)
Mathematical Modeling A video of the path ofa ball thrown by a baseball player was analyzed with agrid covering the TV screen. The tape was pausedthree times, and the position of the ball was measuredeach time. The coordinates obtained are shown in thetable. ( and are measured in feet.)(a) Use a system of equations to find the equation of theparabola that passes through thethree points. Solve the system using matrices.(b) Use a graphing utility to graph the parabola.(c) Graphically approximate the maximum height of theball and the point at which the ball struck the ground.(d) Analytically find the maximum height of the balland the point at which the ball struck the ground.(e) Compare your results from parts (c) and (d).
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