Unit 5: Quadratic functions and equations. I need help with the Firework display portfolio??
Fireworks Display Portfolio ALGEBRA 2 A: QUADRATIC FUNCTIONS AND EQUATIONS Directions: You are part of a fireworks crew assembling a local fireworks display. There are two parts to the fireworks platforms: one part is on the ground and the other part is on top of a building. You are going to graph all of your results on one coordinate plane. Make sure to label each parabola with its equation. Use the following equations to assist with this assignment. • The function for objects dropped from a height where t is the time in seconds, h is the height in feet at time t, and 0 h is the initial height is 2 0 ht t h ( ) 16 = − + . • The function for objects that are launched where t is the time in seconds, h is the height in feet at time t, 0 h is the initial height, and 0 v is the initial velocity in feet per second is 2 0 ht t vt ( ) 16 =− + + h0 . Select the link below to access centimeter grid paper for your portfolio. Centimeter Grid Paper Task 1 First, conduct some research to help you with later portions of this portfolio assessment. • Find a local building, take a picture of it, and estimate its height. • Use the Internet to find some initial velocities for different types of fireworks. Use one of these values Task 2 Respond to the following items. 1. While setting up a fireworks display, you have a tool at the top of the building and need to drop it to a coworker below. How long will it take the tool to fall to the ground? 2. State whether the parabola represented by 2 ht t t ( ) 16 250 =− + opens up or down. Explain why your answer makes sense in the context of this problem. 3. One of the fireworks is launched from the top of the building with an initial upward velocity of 150 ft/sec. a. What is the equation for this situation? b. When will the firework land if it does not explode?c. Make a table for this situation so that it shows the height from time t = 0 until it hits the ground. d. Calculate the axis of symmetry. e. Calculate the coordinates of the vertex. f. Explain why negative values for t and h t( ) do not make sense for this problem. g. Graph this situation. Make sure to label your axes with a title and a scale. 4. Using the initial velocity for a firework that you researched in Task 1, calculate the maximum height of another firework launched from the ground, if it is set to explode 3 seconds after launch. 5. You launch a third firework. Decide whether you want to launch it from the ground or from the building. Also, choose a height at which this firework will explode and an initial velocity for this firework. How long after setting off the firework should the delay be set? 6. What can you conclude about how the height of the building and the initial velocity of the mortar affects the max height and the time it takes to get there?
8 answers
A problem like this will not be assigned until after some time has been spent.
Whatcha got so far?
2) Intial velocity of a fireworks = 100 ft/sec
3) h(t) = -16t^2 + h