# Path estimation using quadratic equations

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A rocket is launched from the ground and follows a parabolic path represented by the equation y=-x(squared)+10x. at the same time, a flare is launched from a height of 10 feet and follows a straight path represented by the equation y=-x+10. Using the accompanying set of axes, graph the equations that represent the paths of the rocket and the falre, and find the coordinates of the point or points where the paths intersect.

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#### Solution Preview

Let X axis represent the Ground Level ( so Y = 0)

<br>Let Y Axis represent the height from the ground.

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<br>The graph of the 2 trajectories is shown in the Excel Sheet attached.

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<br>The Flare and the Rocket will co-incide (intersect) when thier y Co- ...

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