Task 1 Mu Alpha Theta, the Mathematics Honor society, is going to have a demonstration rocket show where they make a roc

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Task 1 Mu Alpha Theta The Mathematics Honor Society Is Going To Have A Demonstration Rocket Show Where They Make A Roc 1 (74.2 KiB) Viewed 57 times

Task 1 Mu Alpha Theta, the Mathematics Honor society, is going to have a demonstration rocket show where they make a rocket fly over the Science & Mathematics building and land near the parking lot. For safety reasons, the dean wants assurances that the students can control where it lands. Since the rocket will be a fireball when it lands, the Mu Alpha Theta needs to aim the rocket so that it lands in the pond near the parking lot. Here are some facts about the campus grounds: The launcher will be placed in a courtyard 60 meters from the Science & Mathematics building. The building is 40 meters wide and 30 meters tall. ● • The parking lot on the other side of the school building is 15 meters wide. . At the edge of the parking lot is a pond which is 10 meters wide. The Mu Alpha Theta president needs to program the launch mechanism so that it not only misses the building, but lands in a safe spot: the pond. They know that a rocket that flies extremely high would miss the building, but they want it as low as possible so that it will be visible to the spectators. Sketch a graph showing the lowest path possible for the rocket that flies at least 5 meters over the building and lands in the pond. Height of the rocket above ground 120 110 100 Distance traveled by the rocket Find the intercepts of your parabola. 38 39 3 The Intercept Form of a Quadratic Function is: f(x)= a(x-x₂)(x-x₂) where the points (x₁,0) and (x₂.0) are the real or complex roots of the function. Use the x-intercepts from part (b) to find a possible equation for the parabola that has the lowest possible rocket trajectory so that it is visible to the crowd and has at least a 5-meter clearance over the building. Elmo, a reporter for the school newspaper, wants to know how high the rocket flies. Use your graph to estimate the height, and then verify your estimate using your equation.