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 ->  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

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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 A+volleyball+is+hit+upward+by+a+player+in+a+game.+The+height+%28h%29+%28in+feet%29+of+the+volleyball+after+%28t%29+seconds+is+given+by+the+functin+ h=-16+30t+6.
What is the maximum height on the volleyball?
Answer by nerdybill(5414) 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