Name:
Period:
Seat #:
Objective 3: SWBAT apply their knowledge of quadratic characteristics to answer real world problems.
Example 1 :A rocket follows a parabolic trajectory. After t seconds, the vertical height of the rocket above the ground,
in meters, is given by h(t) = -t² + 37t + 10
What is the initial height of the rocket?
Find the height of the rocket above the ground after 9 seconds.
a.
b.
C.
d.
e.
f.
g.
After how many seconds does it take for the rocket to be at its maximum?
Find the maximum height of the rocket above the ground.
When does the rocket hit the ground?
When does the rocket have a height of 100 m?
For how long does the rocket have a height of more than 200 m?
Step 1: Sketch the Graph
y
Date:
X
Step 2: Figure out what the question is asking and then answer
a. What is the initial height of the rocket?
1. What is the question asking about?
2. How can I find the answer?
3. What is the answer?
b. Find the height of the rocket above the ground after 9 seconds. (Think about steps 1-3)
c. After how many seconds does it take for the rocket to be at its maximum? (Think about steps 1-3)
d. Find the maximum height of the rocket above the ground. (Think about steps 1-3)
e. When does the rocket hit the ground? (Think about steps 1-3)
f. When does the rocket have a height of 100 m? (Think about steps 1-3)
g. For how long does the rocket have a height of more than 200 m? (Think about steps 1-3)