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# A model rocket is launched with an initial velocity of 117 feet per second from the height of 3 feet.

A model rocket is launched with an initial velocity of 117 feet per second from the height of 3 feet. The function s(t)=−16t2+117t+3

models the path of the rocket where trepresents 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?

Round all answers to one decimal place.