SOLUTION: An object is projected upward from the top of a tower. Its distance in feet above the ground after t seconds is given by s(t)=-16t+64t+80. How many seconds will it take to reach

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: An object is projected upward from the top of a tower. Its distance in feet above the ground after t seconds is given by s(t)=-16t+64t+80. How many seconds will it take to reach       Log On


   



Question 113519: An object is projected upward from the top of a tower. Its distance in feet above the ground after t seconds is given by s(t)=-16t+64t+80. How many seconds will it take to reach ground level?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
An object is projected upward from the top of a tower. Its distance in feet above the ground after t seconds is given by s(t)=-16t^2+64t+80. How many seconds will it take to reach ground level?
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When it reaches the ground s(t)=zero.
Solve -16t^2+64t+80=0
-16(t^2-4t-5)=0
(t-5)(t+1)=0
t=5 seconds or t=-1 second
Only t=5 seconds makes any sense for this problem.
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Cheers,
Stan H.