brinazarski
  • brinazarski
It has been estimated that 1000 curies of a radioactive substance introduced at a point on the surface of the open sea would spread over an area of 40,000 km2 in 40 days. Assuming that the area covered by the radioactive substance is a linear function of time t and is always circular in shape, express the radius r of the contamination in terms of t.
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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brinazarski
  • brinazarski
I don't even know where to start (except r(t)).... help?
oOKawaiiOo
  • oOKawaiiOo
oh, this can be tricky. let me work on it hold on
oOKawaiiOo
  • oOKawaiiOo
hey can I express (t) time in days?

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anonymous
  • anonymous
Yes
anonymous
  • anonymous
1000 meters per second is the answer
oOKawaiiOo
  • oOKawaiiOo
lol ill give you an equation and my work.
oOKawaiiOo
  • oOKawaiiOo
Radius = 25.23 Km (t) = days By day 40, you will have contaminated 40,000Km squared
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anonymous
  • anonymous
LOLOLOLOL this is taking forever.
dumbcow
  • dumbcow
Area is linear function...slope = 40,000/40 = 1000 \[A(t) = 1000t = \pi r(t)^{2}\] \[r(t) = \sqrt{\frac{1000t}{\pi}}\]

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