Math 95
Week 3-Section 9.6, 9.7, 10.1 \& 10.2
Name
Hannah fired a toy rocket from the ground, which flew into the air at a speed of 64 feet per second. The height of the rocket, in feet, can be modeled by the function $h(t)=-16 t^{2}+64 t$ where $t$ is measured in seconds. For Parts a-d show your work to find the points algebraically, and then plot the point on the graph provided. Failure to show work for parts a-d will result in loss of points.
a. Evaluate $h(1)$. What does this value mean in the context of the problem?
c. When does the rocket hit the ground? What key point does this represent on your graph?
d. When does the rocket reach the maximum height? What key point does this represent on your graph?
e. Complete the parabola for the graph using the points you plotted from parts a-d.
f. What is the practigatalomain for this application? Write your answer using interval notation, and explain why this is the practical domain using a complete sentence.
g. What is the practical range for this application? Write your answer using interval notation, and explain why this is the practical range using a complete sentence.