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anonymous
 5 years ago
If a stone is tossed from the top of a 290 meter building, the height of the stone as a function of time is given by h(t) = 9.8t2 – 10t + 290, 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.
anonymous
 5 years ago
If a stone is tossed from the top of a 290 meter building, the height of the stone as a function of time is given by h(t) = 9.8t2 – 10t + 290, 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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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0The stone hits the ground when h(t) = 0 So the question is when does 9.8t^2  10t + 290 = 0? 10 + sqrt((10)^2  4(9.8)(290)) ALL OVER 2(9.8) quadratic formula. 10 + sqrt (100  (11368)) ALL OVER 19.6 10 + sqrt ( 100 + 11368) ALL OVER 19.6 10 + sqrt (11468) ALL OVER 19.6 Answers are 10 + 107.09 ALL OVER 19.6 which is 117.09/19.6 = 4.95 and 10  107.09 ALL OVER 19.6 which is 97.09/19.6 = 4.95 You have to throw out the negative answer since it represents time. So after 4.95 seconds it would hit the ground
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