anonymous
  • anonymous
The position of an object at time t is given by s(t) = -2 - 6t. Find the instantaneous velocity at t = 2 by finding the derivative.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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jim_thompson5910
  • jim_thompson5910
what is the derivative of s(t)? what did you get?
anonymous
  • anonymous
-2 - 6(x+h) ? @jim_thompson5910
jim_thompson5910
  • jim_thompson5910
you made an error somewhere

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jim_thompson5910
  • jim_thompson5910
that -2 should go away
anonymous
  • anonymous
-2 - 6(x+h) -(-2-6x)
anonymous
  • anonymous
is that right?
anonymous
  • anonymous
then that over h?
jim_thompson5910
  • jim_thompson5910
yes that's correct
jim_thompson5910
  • jim_thompson5910
you'll find that the first -2 and the -(-2) will cancel
anonymous
  • anonymous
is the answer -6?
anonymous
  • anonymous
bc you get -2-6x-6h+2+6x/h = -6h/h = -6
jim_thompson5910
  • jim_thompson5910
very good
jim_thompson5910
  • jim_thompson5910
s(t) = -2 - 6t s ' (t) = -6
jim_thompson5910
  • jim_thompson5910
so no matter what t is, the instantaneous velocity will be -6
anonymous
  • anonymous
ok thank you!
jim_thompson5910
  • jim_thompson5910
you're welcome

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