SOLUTION: The function y = 16t2 + 486 models the height y in feet of a stone t seconds after it is dropped from the edge of a vertical cliff. How long will it take the stone to hit the grou

Algebra ->  Functions -> SOLUTION: The function y = 16t2 + 486 models the height y in feet of a stone t seconds after it is dropped from the edge of a vertical cliff. How long will it take the stone to hit the grou      Log On


   



Question 618896: The function y = 16t2 + 486 models the height y in feet of a stone t seconds after it is dropped from the edge of a vertical cliff. How long will it take the stone to hit the ground? Round to the nearest hundredth of a second.
Answer by nerdybill(7384) About Me  (Show Source):
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The function y = 16t2 + 486 models the height y in feet of a stone t seconds after it is dropped from the edge of a vertical cliff. How long will it take the stone to hit the ground? Round to the nearest hundredth of a second.
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Set y to zero and solve for t:
y = -16t^2 + 486
0 = -16t^2 + 486
16t^2 = 486
t^2 = 30.375
t = 5.51 seconds