91.1k views
4 votes
Logan is doing a handstand dive from a 12 meter platform. The equation that models the path of her dive is given by LaTeX: h=-4.9t^2+12h = − 4.9 t 2 + 12, where t is seconds. After how many seconds will Logan hit the water?

User Kwadz
by
5.2k points

1 Answer

7 votes

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

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

So, after 2.44 seconds it will hit the water.

User Lfree
by
5.9k points