need show work and interpretation along with values in table

need show work and interpretation along with values in table.

A model rocket s launched with an initial velocity of 11 feet per second from the height of lal feet. 16t 11 [c]t lal models the path of the rocket where trepresents s (t) The function the time, in seconds, after which the rocket is launched and s represents the height of the rocket at time t. Note: if lal 3 and [cl 7, then s(t) 16t2 117t 3 1. Eu in the table of values for the function, and give a short interpretation for each point. 2. How long will it take for the rocket to return to the ground? 3. How long will it take the rocket to reach its maximum height? What is the maximum height reached by the rocket? Path of a Rocket Interpretation s(t) 150 2 different values 150 200 2 different values

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