Imagine that as a ball is tossed, its motion is tracked on a coordinate plane. Given only a few of the points that the ball passes through, it is actually possible to determine the equation of the parabola that represents the ball’s path through the air. Assume the ball passes through the points (3,8), (5,20/3), and (6,5). Use this data to set up a system of three equations and three unknowns (a, b, and c) that will allow you to find the equation of the parabola and assume that x represents the number of seconds that have passed since the ball was thrown: determine approximately how long it will take for the ball to hit the ground.

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