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Falling Raindrop

Falling Raindrop

Posers and Puzzles

S

Joined
18 Jun 11
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1179
Clock
05 Nov 11
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Since raindrops grow as they fall, their surface area increases and therefore the resistance to their falling increases. A raindrop has an initial downward velocity of 10 m/s and its downward acceleration is portrayed by the equation

a=9-.9t when 0<t<10
a=0 when t>10

If the raindrop is initially 500 m above the ground, how long does it take to reach the ground?

talzamir
Art, not a Toil

60.13N / 25.01E

Joined
19 Sep 11
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59801
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05 Nov 11
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A little under 12 seconds?

R
Standard memberRemoved

Joined
10 Dec 06
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8528
Clock
05 Nov 11
1 edit
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I get about 11.8 s

So that makes two of us

a

.

Joined
06 Feb 10
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6916
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05 Nov 11
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While we are no the subject, this is an interesting watch:

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