MATHEMATICAL MODELING A video of the pathof a ball thrown by a baseball player was
Chapter 7, Problem 113(choose chapter or problem)
MATHEMATICAL MODELING A video of the pathof a ball thrown by a baseball player was analyzedwith a grid covering the TV screen. The tape waspaused three times, and the position of the ball wasmeasured each time. The coordinates obtained areshown in the table. (x and y are measured in feet.)(a) Use a system of equations to find the equation ofthe parabola that passes throughthe three 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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