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O QUADRATIC EQUATIONS AND FUNCTIONSWord problem involving the maximum or minimum of a quadrati...19A ball is thrown vertically upward. After t seconds, its height / (in feet) is given by the function / (t)-841-167. What is the maximum height that the ball willreach?Do not round your answer.

O QUADRATIC EQUATIONS AND FUNCTIONSWord problem involving the maximum or minimum of a quadrati19A ball is thrown vertically upward After t seconds its height in class=

Respuesta :

Given the quadratic equation:

[tex]h(t)=-16t^2+84t[/tex]

The maximum point is given by the vertex of the function (h, k); where h = time the ball reaches the point, and k = maximum height. Hence:

[tex]h=\frac{-b}{2a}=\frac{-84}{2(-16)}=2.625[/tex][tex]k=-16\times(2.625)^2+84\times(2.625)=110.25[/tex]

ANSWER

height = 110.25 ft

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