SOLUTION: Men are diving from a cliff to the water 16 feet below. A diver's height h (in feet) above the water t seconds after diving is given by h = −16t2 + 16. How long does a dive la

Algebra ->  Equations -> SOLUTION: Men are diving from a cliff to the water 16 feet below. A diver's height h (in feet) above the water t seconds after diving is given by h = −16t2 + 16. How long does a dive la      Log On


   



Question 1162343: Men are diving from a cliff to the water 16 feet below. A diver's height h (in feet) above the water t seconds after diving is given by h = −16t2 + 16.
How long does a dive last?
Would I just have to factor the given equation to find t?

Answer by ikleyn(52887) About Me  (Show Source):
You can put this solution on YOUR website!
.

You should find the time "t" from the equation


    h(t) = 0,   which in your case is  -16t^2 + 16,   or


    16t^2 = 16.


Cancel the factor 16 in both sides and get  


      t^2 = 1,

which implies

     t = sqrt%281%29 = 1 second.


It is your answer.

Solved, explained and completed.