# SOLUTION: if a model rocket was measured by the vertical motion model h=-16t2+96t, how many seconds would it take for the model rocket to reach 80 feet for the second time? My math teache

Algebra ->  Algebra  -> Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: if a model rocket was measured by the vertical motion model h=-16t2+96t, how many seconds would it take for the model rocket to reach 80 feet for the second time? My math teache      Log On

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 Question 451727: if a model rocket was measured by the vertical motion model h=-16t2+96t, how many seconds would it take for the model rocket to reach 80 feet for the second time? My math teacher asked a similar vertical motion question and if i see this one worked out i might understand it better. Answer by benn143(2)   (Show Source): You can put this solution on YOUR website!First set it up like it says. 80=-16t^2+96t then subtract the 80 from both sides. 0=-16t^2+96t-80 then divide the whole thing by -16. 0=t^2-6t+5 then you simply factor and solve 0=(t-5)(t-1) t-5=0 t-1=0 t=5 or t=1 Now these answers are when the rocket hit 80 feet on its way up and way down. So the answer would be 5 seconds because it takes longer to come down. Hope that helps!