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 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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May 9 2006, 11:26 PM
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#2
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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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Posts in this topic
salcha YOU LOVE THISSSSSSSSSSSSSS May 9 2006, 09:40 PM
Girthy Nvm, Trig problems. BORING. May 9 2006, 09:42 PM
mipadi QUOTE(Girthy @ May 9 2006, 10:42 PM) Nvm,... May 9 2006, 10:00 PM salcha It wasn't stated. May 9 2006, 09:47 PM salcha Haha, half trig half calc.
Well, precalc = in the ... May 9 2006, 10:02 PM mipadi This is one of those things that I can't quite... May 9 2006, 10:03 PM salcha QUOTE(mipadi @ May 9 2006, 8:03 PM) This ... May 9 2006, 11:25 PM Girthy I tried using related rates, but I got different a... May 9 2006, 10:31 PM salcha Mm, rates and extrema.
Hmm, you got the answer t... May 9 2006, 11:31 PM adecimalabove your askin the wrong person! hahaha sorry... May 15 2006, 01:30 PM monde libre AP Calc BC exam was traumatizing. I don't want... May 16 2006, 12:41 AM |
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