Question

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.

Answer 1

Given the quadratic equation:

`h(t)=-16t^2+84t`

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:

`h=(-b)/(2a)=(-84)/(2(-16))=2.625`
`k=-16*(2.625)^2+84*(2.625)=110.25`

ANSWER

height = 110.25 ft