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| *salcha* |
 May 9 2006, 09:40 PM
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#1
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A plane flying at 600 km/h on a straight horizontal course 5 km above the ground passes directly ovver an observer who is watching the plane through a telescope. How fast is the telescope rotating (a) at that moment? (b) one minute later?
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Replies
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| *Girthy* |
May 9 2006, 09:42 PM
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#2
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Nvm, Trig problems. BORING.
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| *salcha* |
May 9 2006, 09:47 PM
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#3
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It wasn't stated.
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| *mipadi* |
May 9 2006, 10:00 PM
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#4
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QUOTE(Girthy @ May 9 2006, 10:42 PM)  Nvm, Trig problems. BORING. Not so much trig as calculus. |
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| *salcha* |
May 9 2006, 10:02 PM
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#5
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Haha, half trig half calc.
Well, precalc = in the middle. |
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| *mipadi* |
May 9 2006, 10:03 PM
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#6
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This is one of those things that I can't quite remember how to do. It's in my calculus textbook, which is unfortunately at home.
It's a fun problem, though, I'll tell you that. |
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| *Girthy* |
May 9 2006, 10:31 PM
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#7
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I tried using related rates, but I got different answers from the book. Mmm...maybe I'm not suppose to use it...
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| *salcha* |
May 9 2006, 11:25 PM
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#8
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QUOTE(mipadi @ May 9 2006, 8:03 PM) This is one of those things that I can't quite remember how to do. It's in my calculus textbook, which is unfortunately at home. It's a fun problem, though, I'll tell you that. Oh yes, I agree. I've been staring at this problem for quite some hours and I still can't figure it out. |
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May 9 2006, 11:26 PM
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#9
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 dripping destruction  Group: Staff Alumni Posts: 7,282 Joined: Jun 2004 Member No: 21,929 |
it is related rates.
theta= arctan(5t/600) theta= arctan (t/120) d theta / dt = 21600/ pi times (t^2 +14400) d theta/ dt | t=0 = .477465 rad per hour d theta/ dt | t= 1/60 = uh oh. same thing. well, they're just... really close. it rounds to be the same thing. i probably did this wrong... oh crap. t is in the wrong place. let's try again. theta= arctan (5/600t) d theta/ dt= 21600/ pi times (14400 t^2 +1) d theta/ dt | t=0 = 6875.45 rad/hour d theta/ dt |t= 1/60 = 1375 rad/ hour |
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| *salcha* |
May 9 2006, 11:31 PM
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#10
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Mm, rates and extrema.
Hmm, you got the answer to b (0.4), but a is supposed to be 2 (in radians) |
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May 15 2006, 01:30 PM
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#11
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Senior Member Group: Member Posts: 56 Joined: May 2006 Member No: 400,834 |
your askin the wrong person! hahaha sorry!!! good luck!
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May 16 2006, 12:41 AM
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#12
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Senior Member Group: Member Posts: 1,746 Joined: Oct 2004 Member No: 52,931 |
AP Calc BC exam was traumatizing. I don't want to go through this again...
*cowers* |
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