Question 1020997: Hello, I am having trouble with a Word problem/quadratic equation. "A company manufactures high-powered fountains that can be used to create water shows set to light and music. The company makes 3 models, each can launch a vertical stream of water to a different height, as indicated in the table below . Model A Model B Model C
Height(ft)----------- -77---------100---------240
time to fall(s)---- --2.194---- ? ---- ?
Initial velocity (ft/s)----70.2---------?-----------123.9 ** I need to find the 3 missing values (time water would take to fall from each height in the table back to its starting level for models B & C, and the initial upward velocity required for model B to launch the water to its maximum height, and create a function that will give the minimum initial upward velocity (v) required to launch water to any give height (h). I apologize for such a large question and will appreciate any help you can give me!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Hello, I am having trouble with a Word problem/quadratic equation. "A company manufactures high-powered fountains that can be used to create water shows set to light and music. The company makes 3 models, each can launch a vertical stream of water to a different height, as indicated in the table below . ________________________Model A Model B Model C
Height(ft)----------- -77---------100---------240
time to fall(s)---- --2.194---- ? ---- ?
Initial velocity (ft/s)----70.2---------?-----------123.9
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h(t) = -16t^2 + Vot + Ho
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Using Model A DATA:
77 = -16(2.194)^2 + 70.2(2.194) + 0
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Using Model B DATA:
100 = -16t^2 + Vo(t)
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Using Model C DATA:
240 = -16t^2 + 123.9t
Solve for "t"::
t = 4 seconds
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Cheers,
Stan H.
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