Fireworks Display Portfolio ALGEBRA ZA QUADRATIC FUNCTIONS AND EQUATIONS Fireworks are a wonderful display of festive colors and designs - who doesn't love them ? ! ? In this portfolio , we are going to be using some equations to do calculations dealing with a fireworks display The first equation you will need to use is for when an object is dropped Equation The second equation you will need to use is for when an object is launched Equation * * * The building we are going to be using is going to be 50 fee all . This will be your in any question that it says you are gunching or dropping something from the top of the building the buildi Questions 1 . While setting up a fireworks display , you have to drop your cell phone down to your co - worker who is on the ground How long will it take the phone to fall to the ground ? Equation3. . State whether the parabola represented by opens up or down. Explain why your answer makes sense in the context of this problem. One of the reworks is launched from the top of the building with an initial upward velocity (v) of 150 ft/sec. a. What is the equation for this situation? b. When will the rework land if it does not explode (maybe it was a dud)? c. Calculate the axis of symmetry. (1. Calculate the coordinate of the vertex. e. Explain why negative values for and do not make sense for this problem. f. Graph this situation. Make sure to label your axes with a title and a scale. 4. Your coworker launches a second rework with an initial velocity (v) 01'235 l't/scc from the ground. a. Calculate the height that the rework explodes at if it is set to explode 3 seconds after it was launched. b. Create a graph for the path of this rework. 5. You launch a third rework from the top of the building. This rework has an initial velocity of 393 ft/scc. a. If you want the rework to explode at lOOOt't in the air, how long after setting off the rework should the delay be set? b. Create a graph for the path of this rework. 6. What can you conclude about how the height of the building and the initial velocity of the rework affect the max height and the time it takes to get there