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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: 2 Ships
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akhil_o (2704)

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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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the.sniper (637)

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Please specify in which direction is ship A heading

" 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
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"You can get more with a kind word and a gun than you can with a
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akhil_o (2704)

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same direction
sorry for that

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the.sniper (637)

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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)

" 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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the.sniper (637)

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akhil please check my above post and let me know the right answer

" 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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akhil_o (2704)

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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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the.sniper (637)

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tell the right answer atleast

" 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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kvsaneja (0)

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Hey man...ur ques seems wrong....the direction must be diff from B...!!
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saad_amu (9)

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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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akhil_o (2704)

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ans in 9.9 km

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anchitsaini (4290)

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i have got the ans
wait i'll post the soln

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anchitsaini (4290)

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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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anchitsaini (4290)

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9.9km instead of 9.9m

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