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Assignment on Quadratic Functions

Assignment on Quadratic Functions Introduction: The quadratic functions is often used to describe projectile motion. Objects thrown straight up or down in the air has initial velocity. The path this object follows a parabolic motion For this situation, projectile path can be modeled by the function below which gives the height ofan object M!) at time t foran object with initial velocity V\" and initial height It\". In meters: 12(3) = 4.9r2 +vut + I10 In feet: It\") = 16.t2 +v0r + 11,, Scenario 1: A potato is fired from a spudgun at a height of 1.5 meters and with initial velocity of 25 meters per seconds. The equation modeled by this projectile motion is M1) = 74.912 + 25! + 1.5 a) graph or sketch the projectile motion of the potato using a desmOS calculator, attach a screenshot on your submission b} what does the x-axis and y-axis means in the graph c) what is the maximum height reached by this potato d} what time does the potato reached the highest point e) what time does the potato reached the ground, 51(1) 2 0 Scenario 2: A football is kicked from the ground, ha = 0, with an initial velocity of 35 feet per second. a) Find the equation that modeled the height ofa football, in feet at time t, in seconds b} Sketch a graph using desmos graphing calculator, attach a screenshot of the graph c) When will the football hits the ground at the end of its flight d} Regulations for high school, NCAA and NFL require the goal post to be 10 feet above the ground. At what times is the ball 10 feet or higher above the ground