SOLUTION: An arrow is fired into the air with an initial velocity of 64 feet per second. The height in feet of the arrow t seconds after it was shot into air is given by the function h(x) =

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Question 115175: An arrow is fired into the air with an initial velocity of 64 feet per second. The height in feet of the arrow t seconds after it was shot into air is given by the function h(x) = -16t^2+64t. Find the maximum height of the arrow.

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the maximum for this function (a parabola) lies on the axis of symmetry (at the vertex)

the equation for the axis of symmetry is t=-b/2a

t=-64/(2*(-16)) ___ plug this value of t into h(x) to find the maximum height