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natita [175]
3 years ago
12

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?
Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
6 0

Answer:

Time, t = 2.44 seconds

Step-by-step 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=\dfrac{12}{4.9}\\\\t=2.44\ s

So, after 2.44 seconds it will hit the water.

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