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3 years ago

8

A pinecone drops from a tree branch that is 20 feet above the ground. The function h = –16t2 + 20 is used. If the height h of th

e pinecone is in feet after t seconds, at about what time does the pinecone hit the ground?

1 answer:

Svet_ta [14]3 years ago

4 0

Answer:

t ≈ 1.118 . . . seconds

Step-by-step explanation:

Set h=0 and solve for t.

0 = -16t^2 +20

0 = t^2 -20/16 . . . . . . . . . . . . . . . divide by the coefficient of t^2

t = √(5/4) = (1/2)√5 ≈ 1.118 . . . . . add 5/4 and take the square root

The pinecone hits the ground about 1.12 seconds after it drops.

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