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![[Post New]](/templates/default/images/icon_minipost_new.gif) 25 Feb 2008 19:06:59 IST
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A ship B is traveling south east with v=15 km/h Ship A is 10 km due north of B and steams at 12 km/h Find the minimum distance between the ships
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" Always remember money isn't everything but make sure you have made a lot of it before talking such nonsense!"
- Bill Gates |
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 25 Feb 2008 19:38:04 IST
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Please specify in which direction is ship A heading
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" The difficult we do immediately, impossible takes a little longer "
--- U.S. Army
"It's better to have a gun and not need it than to need a gun and
not have it."
--- The Sniper
"You can get more with a kind word and a gun than you can with a
kind word. "
--- The Sniper
"Join the Army: travel to exotic distant lands; meet exciting,
unusual people and kill them. "
--- The Sniper
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--- Adolf Hitler
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 25 Feb 2008 19:38:50 IST
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same direction sorry for that
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" Always remember money isn't everything but make sure you have made a lot of it before talking such nonsense!"
- Bill Gates |
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 25 Feb 2008 19:49:20 IST
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something wrong with your question ....according to the situation the distance will always tend to a maximum and will be never minimum................or is the answer 10/(2^1/2)
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" The difficult we do immediately, impossible takes a little longer "
--- U.S. Army
"It's better to have a gun and not need it than to need a gun and
not have it."
--- The Sniper
"You can get more with a kind word and a gun than you can with a
kind word. "
--- The Sniper
"Join the Army: travel to exotic distant lands; meet exciting,
unusual people and kill them. "
--- The Sniper
"The victor will never be asked if he told the truth."
--- Adolf Hitler
"Stop talking, start doing"
--- IBM
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 25 Feb 2008 19:58:07 IST
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akhil please check my above post and let me know the right answer
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" The difficult we do immediately, impossible takes a little longer "
--- U.S. Army
"It's better to have a gun and not need it than to need a gun and
not have it."
--- The Sniper
"You can get more with a kind word and a gun than you can with a
kind word. "
--- The Sniper
"Join the Army: travel to exotic distant lands; meet exciting,
unusual people and kill them. "
--- The Sniper
"The victor will never be asked if he told the truth."
--- Adolf Hitler
"Stop talking, start doing"
--- IBM
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 25 Feb 2008 19:58:12 IST
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i'll post the solution in a week or so from my soln book....couldnt do it myself qn is valid enough
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" Always remember money isn't everything but make sure you have made a lot of it before talking such nonsense!"
- Bill Gates |
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 25 Feb 2008 20:03:29 IST
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tell the right answer atleast
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" The difficult we do immediately, impossible takes a little longer "
--- U.S. Army
"It's better to have a gun and not need it than to need a gun and
not have it."
--- The Sniper
"You can get more with a kind word and a gun than you can with a
kind word. "
--- The Sniper
"Join the Army: travel to exotic distant lands; meet exciting,
unusual people and kill them. "
--- The Sniper
"The victor will never be asked if he told the truth."
--- Adolf Hitler
"Stop talking, start doing"
--- IBM
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 25 Feb 2008 20:06:34 IST
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Hey man...ur ques seems wrong....the direction must be diff from B...!!
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 25 Feb 2008 20:07:46 IST
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Just find the position of each ship after a general time interval "t" in terms of co-ordinates and then use the distance formula to calculate the distance between these two points and differentiate the above equation with respect to time to know the value of the time and substitute the value of the time in the eqn formed by distance formula to know the minimum distance.
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 25 Feb 2008 20:12:00 IST
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ans in 9.9 km
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 25 Feb 2008 20:23:11 IST
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i have got the ans wait i'll post the soln
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Impossible To be Impossible is Impossible |
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let us assume that ship is moving towards north and other one is moving towards south east(which is given)]
taking the ship moving south east to be at origin-- its coordinates after time t=
s1=15/root(2) t i + 15/root 2 t j
s2=10 + 12 t i
s=s2-s1=(10 +12t-15/root(2)t) i -15/root 2 j =(10 +1.39 t)i - (10.6t)j
=root( 100 + 1.39 ^2 tsquare + 20*1.39t + 10.6^2 tsquare ) ----1 =root(100 +114.3 t^2 +27.8 t)
ds/dt =0 therefore (2*114.3t +27.8)/denominator=0 t= - 0.12s putting this value in 1 we get s=9.9m
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Impossible To be Impossible is Impossible |
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 25 Feb 2008 20:41:51 IST
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9.9km instead of 9.9m
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Impossible To be Impossible is Impossible |
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