Aball is thrown into the air with an upward velocity of 24 ft./s it’s height in feet after t seconds is given by the function h equals -16 t squared +24 t +7 in how many seconds does a bowl reach its maximum height what is the balls maximum height

Step-by-step explanation:

We are given a quadratic function for height of the ball after T seconds.

We need to find the time T when ball would reach at it's maximum height and also maximum height of the ball.

In order to find the maximum height of the ball, we need to find the x-coordinate of the vertex.

x-coordinate of the vertex is given by formula

x = .

For the given quadratic a=-16 and b= 24.

Plugging a=-16 and b= 24 in above formula of x-coordinate of the vertex.

.

Now, plugging x=0.75 in given quadratic  , we get

= -16(0.5625)+18+7

= -9+25

=16.

step-by-step explanation:

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