anonymous
  • anonymous
a stone is dropped from a captive balloon at an elevation of 1000ft,. two sec later another stone is projected vertically upward from the ground with a velocity of 248ft per sec. if g is 32ft per sec squared when and where will the stones pass each other?
Physics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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razor99
  • razor99
wow is that a physics question
anonymous
  • anonymous
obviously..yes :)
razor99
  • razor99
this is the first time i ever saw a physics question lol cuz i study business stream

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More answers

anonymous
  • anonymous
can u write a equation for the first stone distance travelled by it in t seconds
anonymous
  • anonymous
i know that: \[V _{01}=0 ft/s\] \[V _{02}=248 ft/s\] \[g=32.2 ft/s^2\] \[t _{1}=t _{2}+2\]
anonymous
  • anonymous
@unkabogable can u?
anonymous
  • anonymous
So for the first stone distance travelled by it in t seconds is = ut + 1/2 at^2 = 16t^2
anonymous
  • anonymous
right?
anonymous
  • anonymous
yes.
anonymous
  • anonymous
yes..
anonymous
  • anonymous
now find, for the first stone distance travelled by it in 2 seconds
anonymous
  • anonymous
can u?
anonymous
  • anonymous
yeah...wait: so i have these eq. \[Y _{1}=1000-Y _{2}\] \[Y _{2}=V _{02}t _{2}-1/2(32.2)t _{2}^2\] then i'll substitute and i'll verify my answer later
anonymous
  • anonymous
Let me do it then, for the first stone distance travelled by it in 2 seconds=16*2^2 = 64ft now velocity of it after two seconds = (o^2 + 2*32 *64)^1/2 = 64ft/s
anonymous
  • anonymous
Now,Now, after two seconds, height of the stone after t seonds =1000-64-( ut+1/2 at^2) = 936-64t - 16t^2
anonymous
  • anonymous
then for the next stone: height of the stone after t seconds = ut + 1/2 at^2 = 248t + 1/2 (-32) t^2 =248t - 16t^2
anonymous
  • anonymous
Now, when the the stones pass each other , 936-64t - 16t^2=248t - 16t^2 936=312t t=3seconds
anonymous
  • anonymous
so the stone will pass each other at 3+2 seconds = 5 seconds
anonymous
  • anonymous
got it?
anonymous
  • anonymous
yes..thanks again!! :)
anonymous
  • anonymous
WElcome
anonymous
  • anonymous
No, can u find this where will the stones pass each other
anonymous
  • anonymous
Now
anonymous
  • anonymous
(248)(5-2)\[(248)(5-2)- \frac{ (32.2(5-2)^2) }{ 2} = 600 ft\] ??
anonymous
  • anonymous
Yep........ 600 ft above the ground

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