Question

URGENT! PLEASE HELP WITH ALGEBRA 2 PROJECT!!
If anyone is good at this type of stuff pleeease help me out here! I have no idea what to do with this project. Thank you!!

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.

Answer 1

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 .

Answer 2

• 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
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.

Answer 3

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?

These are all the instructions I was given. Please help!!

Answer 4

I realise that some of the equations got mixed up when I was posting this. If someone can help I will rewrite them.