SOLUTION: Could you please assist with the following problem? A stone is projected vertically upward from a platform that is 20 ft high at a rate of 160 ft per second. When will the stone

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Question 88854: Could you please assist with the following problem? A stone is projected vertically upward from a platform that is 20 ft high at a rate of 160 ft per second. When will the stone reach its maximum height? What will be the maximum height?
Thank you very much for any help you can provide.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A stone is projected vertically upward from a platform that is 20 ft high at a rate of 160 ft per second. When will the stone reach its maximum height? What will be the maximum height?
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s(t) = -16t^2+160t+20
maximum occurs at t=-b/2a or t=-160/-32 = 5 seconds
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Height at that time is s(5) = -16(5^2)+160*5+20
Height after 5 seconds = 420 ft
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Cheers,
Stan H.