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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

User Vishwa
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1 Answer

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y=-12x^2+36x

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


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

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

User Smoke
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