Algebra 1 Name Lesson 33-1 Worksheet Cooper wanted to track

Algebra 1
Lesson 33-1 Worksheet
Name _________________________________
Cooper wanted to track another one of his rockets, the Eagle, so that he could investigate
its time and height while in flight. He installed a device into the nose of the Eagle to
measure the time and height of the rocket as it fell back to Earth. The device started
measuring when the parachute opened. The data for one flight of the Eagle is shown in
the table below. Cooper then used his graphing calculator to graph the data and find the
following quadratic function: 𝑓 𝑡 = −7𝑡 ! + 625
1. Use the given function to find the time when the rocket’s height is 450 feet. Verify
that your result is the same as the data in the table.
2. After the parachute opened, how long did it take for the rocket to hit Earth?
3. State a reasonable domain and range for the rocket’s free fall.
A model rocket is launched from the ground. Its height at different times after the launch
is recorded in the table below. A graphing calculator was used to graph the data and find
the following quadratic equation: ℎ 𝑡 = −16𝑡 ! + 160𝑡
4. Identify a reasonable domain for the function within this context.
5. How high is the rocket after 8 seconds?
6. After how many seconds does the rocket come back to the ground?
7. What is the maximum height the rocket reached?
8. At what time(s) will the height of the rocket be equal to 300 feet?