Answer:
Time, t = 2.44 seconds
Explanation:
Logan is doing a handstand dive from a 12 meter platform. The equation that models the path of her dive is given by :
![h=-4.9t^2+12t](https://img.qammunity.org/2021/formulas/mathematics/high-school/kh6wfdshzffttkyvcdhz6vnj06ou8i9ilm.png)
It is required to find the time after which Logan will hit the ground. At this point, h = 0
![-4.9t^2+12t=0\\\\t(-4.9t+12)=0\\\\t=(12)/(4.9)\\\\t=2.44\ s](https://img.qammunity.org/2021/formulas/mathematics/high-school/nql7dq9z88i8ar2hkvb5ubweh8fosvsan2.png)
So, after 2.44 seconds it will hit the water.