SOLUTION: 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
Question 387697: 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 nerdybill(7384) (Show Source):
You can put this solution on YOUR website! h(t) = -9.8t2 – 10t + 350
Set h(t) to 0 and solve for t:
0 = -9.8t2 – 10t + 350
0 = -4.9t2 – 5t + 175
t = {-6.51, 5.49}
Only the positive answer makes sense:
t = 5.49 seconds
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details of quadratic: