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The height of a soccer ball that is kicked from the ground can be approximated by the function:y=-12x^2+36xWhere y is the height of the soccer ball in feet x second after it is kickedFind the time it takes the soccer ball to reach its maximum height in seconds

Respuesta :

[tex]y=-12x^2+36x[/tex]

The time it takes to reach the maximum height is at the axis of symmetry. Therefore,

[tex]x=-\frac{b}{2a}[/tex][tex]x=-\frac{36}{-2(12)}=\frac{36}{24}=1.5\text{ seconds}[/tex]

The time it takes to reach the maximum height = 1.5 seconds

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