a model rocket is launched with an initial velocity of 117 f

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?

Path of a Rocket 10 2 different mises 2 different 150 Interpr

Solution

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