SOLUTION: A volleyball is hit upward by a player in a game. The height (h) (in feet) of the volleyball after (t) seconds is given by the functin {{{ h=-16+30t+6. What is the maximum height

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: A volleyball is hit upward by a player in a game. The height (h) (in feet) of the volleyball after (t) seconds is given by the functin {{{ h=-16+30t+6. What is the maximum height       Log On


   



Question 239117: A volleyball is hit upward by a player in a game. The height (h) (in feet) of the volleyball after (t) seconds is given by the functin h=-16+30t+6.
What is the maximum height on the volleyball?

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
I think you meant (please check)
h=-16t%5E2%2B30t%2B6
.
If so, finding the vertex gives you your solution.
Axis of symmetry = -b/2a
Axis of symmetry = -30/2(-16)
Axis of symmetry = -30/-32
Axis of symmetry = 15/16
.
Height, then when t = 15/16:
h=-16%2815%2F16%29%5E2%2B30%2815%2F16%29%2B6
h = 20.06 feet