Math precalculus

Math precalculus

A model rocket is launched with an initial velocity of 11[c] feet per second from the height of [a] feet. The function

s(t)=−16t2+11[c]t+[a]

$s\left(t\right)=-16t^2+11\left[c\right]t+\left[a\right]$ 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. Fill 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?

Round all answers to one decimal place.

Note: if [a]=2 and [c]=7, then

s(t)=−16t2+117t+2

$s\left(t\right)=-16t^2+117t+2$

Work this custom problem about the quadratic function using the techniques you learned in this module.

PIN IS 2 5 7 4 6

A=2 B=5 C=7 D=4 E=6

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