anonymous
  • anonymous
??
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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IrishBoy123
  • IrishBoy123
go! your answer
anonymous
  • anonymous
?
IrishBoy123
  • IrishBoy123
do you have an approach?

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anonymous
  • anonymous
I think I have to derive this
zepdrix
  • zepdrix
\(\large\rm a(t)=s''(t)\) Yes. And they want you to find \(\large\rm a(2)\)
zepdrix
  • zepdrix
\(\large\rm s'(t)=?\)
anonymous
  • anonymous
It equals 3t^2/2√(t^3+1)
zepdrix
  • zepdrix
Good :)
zepdrix
  • zepdrix
Oo looks like you'll need `quotient rule` to achieve that second derivative, ya? :o
anonymous
  • anonymous
Yesss and I got 3t(t^3+4)/4(t^3+1)^(3/2)
anonymous
  • anonymous
So would I just plug 2 into that?
zepdrix
  • zepdrix
Hmm I got something very similar, but a (t^3+1)^(5/2) in the bottom. Lemme make sure I didn't make a boo boo somewhere.
zepdrix
  • zepdrix
Woops :) Ya I did. Looks like you are correct! Yes, proceed to plug in t=2.
anonymous
  • anonymous
And then I got 2/3
zepdrix
  • zepdrix
yayyy good job \c:/
zepdrix
  • zepdrix
and the units are going to be ft/sec^2 in case you need that as well.
anonymous
  • anonymous
Okay thank you so much!

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