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stich3 [128]
3 years ago
5

A ball is dropped from a treetop 256 feet above the ground. How long does it take to hit the ground?

Mathematics
1 answer:
tankabanditka [31]3 years ago
4 0
Assuming gravity is constant and ignoring wind resistance...

h(t)=hi+vit-16t^2....vi=0 and hi=256 so

h(t)=256-16t^2

When it hits the ground, h=0 so

256-16t^2=0

16t^2=256

t^2=16, and since t>0

t=4 seconds
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We can can fix that by using logarithms.
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We'll take log of each side.
Log of what base tho?

Well, the base of our exponential is e,
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We'll apply one of our log rules next:
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Another thing to remember about logs:
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As a final step, divide both sides by 3,

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