Problema Solution
Jon is launching rockets in a open field the path of the rocket can be modeled by quadratic function h(t) = -16t^2 + 96t. Where h(t) is the height in feet any t in seconds. After how many seconds will the rocket reach a height of 80 feet for the second time?
Answer provided by our tutors
We need to find such 't' so that h(t) = 80, that is:
-16t^2 + 96t = 80
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click here to see the equation solved for t
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t1 = 1 s
t2 = 5 s
The rocket will reach height of 80 feet first time after 1 second, on the way up, and second time after 5 seconds, on the way down.