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An egg is dropped from the roof of a building. The distance it falls varies directly with the square of time it falls. If it takes 0.5 second for the egg to fall 8 feet, how high must the building be if it took 6 seconds for the egg to hit the ground​​

Sagot :

SirGowblingo

height = constant multiplied with time squared.

[tex]\sf{h\:=\:k\:*\:t²}[/tex]

[tex]\sf{8\:=\:k}[/tex] (0.5^2) [tex]\sf{k\:=\:32}[/tex].

[tex]\sf{height\:=\:32\:*\:36\:=\:\underline{1152\:ft}}[/tex]

[tex]\:[/tex]

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