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Jenksz
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« on: September 15, 2008, 08:44:08 PM » |
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A cat and a mouse start at opposing points by the inside wall of a cylindrical box 1 meter in radius with sides too high to climb. The cat and mouse each move at a constant speed, and the cat always moves straight towards the mouse wherever the mouse is. When the cat gets within half a meter of the mouse, the cat leaps and catches the mouse. How much faster than the cat does the mouse have to be to perpetually evade capture?
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jaminz
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« Reply #1 on: September 15, 2008, 09:49:36 PM » |
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cylindrical box?
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Jedakiah
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« Reply #2 on: September 15, 2008, 10:39:37 PM » |
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Way faster.
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misslissa
weave the bacon
Hero Member
Posts: 3497
thats what she said
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« Reply #3 on: September 17, 2008, 11:59:24 AM » |
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A cat and a mouse start at opposing points by the inside wall of a cylindrical box 1 meter in radius with sides too high to climb. The cat and mouse each move at a constant speed, and the cat always moves straight towards the mouse wherever the mouse is. When the cat gets within half a meter of the mouse, the cat leaps and catches the mouse. How much faster than the cat does the mouse have to be to perpetually evade capture?
i hate you |
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steal the hearts, lissa,
Of gamers, around the world,
and rock so damn hard.
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Moomoocow
oPg hamburger
oPg Server Admins
Full Member
Posts: 109
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« Reply #4 on: September 17, 2008, 01:34:50 PM » |
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the mouse has to be very slow.
0mph.
not moving.
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Jedakiah
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« Reply #5 on: September 17, 2008, 01:50:25 PM » |
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That would work.
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Jenksz
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« Reply #6 on: September 17, 2008, 03:08:38 PM » |
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A cat and a mouse start at opposing points by the inside wall of a cylindrical box 1 meter in radius with sides too high to climb. The cat and mouse each move at a constant speed, and the cat always moves straight towards the mouse wherever the mouse is. When the cat gets within half a meter of the mouse, the cat leaps and catches the mouse. How much faster than the cat does the mouse have to be to perpetually evade capture?
i hate you Oh hey there |
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misslissa
weave the bacon
Hero Member
Posts: 3497
thats what she said
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« Reply #7 on: September 17, 2008, 05:55:06 PM » |
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A cat and a mouse start at opposing points by the inside wall of a cylindrical box 1 meter in radius with sides too high to climb. The cat and mouse each move at a constant speed, and the cat always moves straight towards the mouse wherever the mouse is. When the cat gets within half a meter of the mouse, the cat leaps and catches the mouse. How much faster than the cat does the mouse have to be to perpetually evade capture?
i hate you Oh hey there  |
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steal the hearts, lissa,
Of gamers, around the world,
and rock so damn hard.
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logicaL!
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« Reply #8 on: September 17, 2008, 09:56:18 PM » |
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A cat and a mouse start at opposing points by the inside wall of a cylindrical box 1 meter in radius with sides too high to climb. The cat and mouse each move at a constant speed, and the cat always moves straight towards the mouse wherever the mouse is. When the cat gets within half a meter of the mouse, the cat leaps and catches the mouse. How much faster than the cat does the mouse have to be to perpetually evade capture?
The mouse has to be moving at the same speed of the cat to avoid capture. I think. Don't quote me. |
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Labyrinthine
Administrator
Hero Member
Posts: 5814
Abuya?!?
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« Reply #9 on: September 17, 2008, 10:08:15 PM » |
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I'm too lazy to actually read the question.
Is this related rates or am I overthinking it?
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b.ho
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« Reply #10 on: September 17, 2008, 10:38:11 PM » |
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mouse has to do instant transmission  |
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Labyrinthine
Administrator
Hero Member
Posts: 5814
Abuya?!?
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« Reply #11 on: September 18, 2008, 06:35:22 AM » |
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OMG!
It's over niiineeee thoouuussaaannnnddddd
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Jenksz
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« Reply #12 on: September 18, 2008, 08:58:35 AM » |
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I'm too lazy to actually read the question.
Is this related rates or am I overthinking it?
Both |
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Jenksz
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« Reply #13 on: September 18, 2008, 08:58:46 AM » |
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mouse has to do instant transmission ....and winnar |
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Samurai Lincoln
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« Reply #14 on: September 18, 2008, 01:43:06 PM » |
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nine f***ing thousand!
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