Question

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

Answer 1

`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