Question 1:
A model rocket is launched with an initial velocity of 117 feet per second from the height of 2 feet. The function s(t)=-16t2+117t+2 models the path of the rocket where t represents the time, in seconds, after which the rocket is launched and s represents the height of the rocket at time t.
Fill in the table of values for the function, and give a short interpretation for each point.
How long will it take for the rocket to return to the ground?
How long will it take the rocket to reach its maximum height? What is the maximum height reached by the rocket?
Table
Path of a Rocket
|
t
|
s(t)
|
Interpretation
|
|
0
|
|
|
|
2
|
|
|
|
4
|
|
|
|
10
|
|
|
|
|
150
|
|
|
|
150
|
|
|
|
200
|
|
|
|
200
|
|