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A pine cone falls from a tree branch that is 144 feet above the ground. After how many seconds does the pine cone land on the ground?

GAMEMASTERX40  Apr 7, 2018
edited by GAMEMASTERX40  Apr 7, 2018
edited by GAMEMASTERX40  Apr 7, 2018
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You would use the "Formula for falling bodies" :

 

d =1/2 x G x t^2, where d = distance fallen, G=Acceleration due to gravity =32.2 ft/s^2, t=time taken.

144 = 1/2 x 32.2 x t^2

144 = 16.1 x t^2       divide both sides by 16.1

8.944 = t^2               take the square root of both sides

t = sqrt(8.944)

t = 2.99 = ~3 seconds - time it takes the pine cone to hit the ground.

Guest Apr 7, 2018

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