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The function above 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

The function above 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 class=

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xenia168

Answer:

3.94 seconds

Step-by-step explanation:

h = - 16t² + 248

If stone is dropped, then h = 0

- 16t² + 248 = 0

t² = [tex]\frac{248}{16}[/tex]

t = ± [tex]\frac{2\sqrt{62} }{4}[/tex]

t < 0 is a solution of equation, but not a solution of the task

t = [tex]\frac{2\sqrt{62} }{4}[/tex] ≈ 3.94 seconds

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