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Factoring a quadratic equation helps us to determine the path of a projectile because it can show the height of a projectile at "t" time after its been released.
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8/3 and -1. These two numbers are your x-intercepts on your line.
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The Quadratic Formula is a formula used to help figure quadratic equations out by finding two soulutions or roots. The advantages of this formula over factoring is you get a more precise answer and it is easier to do when you have an equation that doesnt have "pretty" numbers to try to figure out. If you look at the equation 3x^2-5x-8=0. Using your equation, a=3, b=-5, c=-8. Substitute a, b, and c into the quadrativ formula. In the end, you will getx=5+11/6 and x=5-11/6 so your answers will be
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turned that into a quadratic equation and got the answers of t= -.042 and t= 3.39.
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To calculate horizontal distance traveled by a projectile you take your forward velocity multiplied by (t). In this case, t is seconds. For example, if the forward velocity of my object is 2,143.6 then you multiply that by 3.39 seconds and get a horizontal distance traveled of 4, 672 cm. To calculate the veritcal distance traveled by a projectile you take your equation for heght and calculate it into a quadratic formula. For example, I took my equation of y=-490t^2+ (1642.09)*t +(70.13) and
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At and angle of 50 degrees it went 4.43 meters and at and angle of 10 degrees it went 1.92 meters.
