A model rocket is launched with an initial velocity of 118 feet per second from the height of 4 feet. The function s(t)=-16t2+11[c]t+[a] 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.
1.How long will it take for the rocket to return to the ground?
2.How long will it take the rocket to reach its maximum height?
3. What is the maximum height reached by the rocket?