Asked by kristy

The height h(in ft) above the ground of a submarine-launches missile is given by the function h=-16t+96t+80 where t represents the time in seconds. Scetch a graph of this function. Determine the time at which the missile leaves and returns to the water.

Answers

Answered by Reiny
Your equation is not correct

First of all it should say
h = -16t^2 + 96t + ....

secondly the +80 at the end makes no sense.
Since it is launched from a submarine, then it would be launched 80 ft above sea level.
Don't know about that !! , sounds strange

let's assume the equation is as it stands,
let
-16t^2 + 96t + 80 = 0
t^2 - 6t - 5 = 0
t^2 - 6t + 9 = 5+9
(t-3)^2 = 14
t-3 = ±√14

t = 3 + √14 = appr 6.74 seconds, when it returns to the water
or
t = 3-√14 = -.7416 ???? , see what I mean?
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