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1.3 Applications of Quadratic Equations Quadratic equations can be used to model various natural phenomenon. For example, the motion of an object thrown into the air, roughly follows the path of the graph of a quadratic equation. This graph is known as a parabola. A military artillery piece's aim may be adjusted with computers which calculate the parabolic trajectory. However, gun-training" is still done manually. When these types are problems are presented as graphs, the y axis represents the height of the object and the x axis represents time elapsed since the object was first thrown. The usual things to note are what is the maximum height the object reaches or at what time does the object hit the ground. Example 1. A ball is thrown from 10 feet up with an unknown initial velocity. It follows the curve given by the quadratic equation . At approximately what time does the ball hit the ground? Example 2. Referring to example 1 approximate the maximum height the ball reaches.
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