a model rocket is launched with an initial velocity of 117 feet per second from
ID: 3427366 • Letter: A
Question
a model rocket is launched with an initial velocity of 117 feet per second from the height of 3 feet. the function s(t)=-16t^2+117t+3 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 a time t.
1) fill in table of values, give short interpertation for each point.
2) how long will it take for rocket return to ground?
3)
how long will it take rocket to reach max. height? what is max. height?
Explanation / Answer
a)
Time(t)
S(t)
0
3
2
173
4
215
10
-427
1.6
150
5.7
150
2.6
200
4.7
200
b) At ground, s(t)=-16t^2+117t+3 = 0 ====> t = 7.34 sec
Time(t)
S(t)
0
3
2
173
4
215
10
-427
1.6
150
5.7
150
2.6
200
4.7
200
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