Question 645440: Don't remember how to do these word problems. But the height is also giving me a trouble.
If a stone is tossed from the top of a 350 meter building, the height of the stone as a function of time is given by h(t) = -9.8t2 – 10t + 350, where t is in seconds, and height is in meters. After how many seconds will the stone hit the ground? Round to the nearest hundredth’s place; include units in your answer.
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! If a stone is tossed from the top of a 350 meter building, the height of the stone as a function of time is given by h(t) = -9.8t2 – 10t + 350, where t is in seconds, and height is in meters. After how many seconds will the stone hit the ground? Round to the nearest hundredth’s place; include units in your answer.
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h(t) = -9.8t2 – 10t + 350
At impact, h(t) = 0
-9.8t2 – 10t + 350 = 0
Solve for t, ignore the negative solution.
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h(t) = -9.8t2 – 10t + 350 might be true somewhere, but on Earth it's
h(t) = -4.9t^2 – 10t + 350, not -9.8
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