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Factoring a quadratic equation determines the path of a projectile. It shows its start and finish. In the picture it shows a graph of a projectile launch and the starting and ending points of the x intercepts. This is crucial information for when you want to know the speed after you find the height.
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-b squareroot b-4(a)(c) / 2(a)
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Vertical: -490t^2+upward velocity*t+starting height Example: y=-490t^2+290.762t+64.7 Horizontal: forward velocity*t Example: x=290.762t
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The bigger the angle, the higher the projectile but also the shorter the distance. Also the smaller the angle, the lower the projectile but also the further the distance.