After several successful rocket launches, the Rocket Boys Team is under police investigation. An eye-witness saw a flying object over the water tower near the launch site, linking the witness approximated the height of the flying object to be about 100 feet.

Homer and Quentin worked together to determine the two mathematical models for the flight of their two unrecovered rockets. The models relate height (h) ot the rockets based on the horizontal distance from the launch deck (X) . 

Rocket # 1 Model:                                      Rocket #2 Model:

h(x)= -0.0808 (x-35)^2+100                    h(x)= -0.4625x^2-3.7x+1

You wre part of the Rocket Boys Team that has been accused of causing a fire in the neighboring forest that is 80 feet away from the launch site. You have been taken to the police station in hand cuffs in front of the whole school. You are now required to give an official statement to the police. In this statement, you will prove to te police that you did not start the fire. Once you prove your innocence, you can continue to reach for your dreams of space exploration like your role model, Dr. Wernher von Braun. To exonerate yourself, your official statement must include the following elements demonstarted with multiple forms of representation, (for example: graphically, algebraicially, and with words)

*Evidence that your rockets could not have traveled far enough to start the fire in the neighboring forest.

*Evidence taht your rockets could not have traveled high enough to be spotted by witnesses.

*Adress possible errors and limitations in your soulution process.

*Adress limitations that the real world imposes on your soulution