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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?

Answer :

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 :

[tex]h=-4.9t^2+12t[/tex]

It is required to find the time after which Logan will hit the ground. At this point, h = 0

[tex]-4.9t^2+12t=0\\\\t(-4.9t+12)=0\\\\t=\dfrac{12}{4.9}\\\\t=2.44\ s[/tex]

So, after 2.44 seconds it will hit the water.

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