The “Big Bertha” model rocket, produced by Estes, reaches a maximum height of 500 ft. (This is all true and accurate)

It’s height over time can be modeled by the equation: y = -16x^2 + 176x

x: time in seconds

y: feet

(the ^2 means “x squared”, but I can’t type that on the blog.)

Using everything you know about Algebra, with some help from your calculator, please write thoughtful responses to the following questions over the weekend:

1. Make a graph and table for this equation. Don’t forget to keep in mind what the variables represent.

2. How high off of the ground is the rocket before it is launched? How do you know?

3. How long does it take the rocket to reach it’s maximum height? How did you find it?

4. What is the total time the rocket will be in the air?

5. Do you notice any patterns in the table? Write down all of them, and be as specific as possible.

You should also complete Geometry Practice IV on Study Island this weekend.