SOLUTION: If a stone is tossed from the top of a 350 meter building, the height of the building as a function of time is given by h(t)=-9.81t^2-10t+350, where t = seconds, height is meters.
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Question 408041: If a stone is tossed from the top of a 350 meter building, the height of the building as a function of time is given by h(t)=-9.81t^2-10t+350, where t = seconds, height is meters. How many seconds will it take the stone to hit the ground? Round to the nearest hundredth place, include units in the answer. Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! h(t)=-9.81t^2-10t+350
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set h(t) to zero and solve for t:
h(t)=-9.81t^2-10t+350
0=-9.81t^2-10t+350
applying the "quadratic formula" we get:
t = {-6.51, 5.49}
throw out the negative solution leaves you with
t = 5.49 seconds
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Details of quadratic follows: