The ball will reach the maximum height in a second. Then the maximum height the ball reaches will be 25 ft.
The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
Lori tosses a ball into the air. The equation models the height, y, in feet, of the ball after x seconds.
[tex]\rm y = -16(x - 1)^2 + 25[/tex]
Differentiate the equation with respect to x, then we have
[tex]\begin{aligned} y' &= 0\\\\\dfrac{d}{dx}[-16(x - 1)^2 + 25] &= 0\\\\ -32(x-1) &= 0\\\\x &= 1 \end{aligned}[/tex]
Then the maximum height the ball reaches will be
[tex]\rm y = -16(1 - 1)^2 + 25\\\\y = -16*0^2 + 25\\\\y = 25[/tex]
Then the maximum height the ball reaches will be 25 ft.
More about the differentiation link is given below.
https://brainly.com/question/24062595
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