anonymous
  • anonymous
Calculus 1 or AP calculus guys please help me Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = 2t + sin(t) and v(0) = 4.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@freckles
jigglypuff314
  • jigglypuff314
and I passed AP BC Calc with a 5 ;) in any case, I'm assuming that at this point you have learned integrals?
anonymous
  • anonymous
I know how to find the velocity, but the answers don't make sense

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jigglypuff314
  • jigglypuff314
well in this case the velocity would be the integral of the acceletation right?
anonymous
  • anonymous
|dw:1449620558185:dw|
jigglypuff314
  • jigglypuff314
careful! think, what is the derivative of cos(t) ? *cough* negative *cough*
anonymous
  • anonymous
-sinx
jigglypuff314
  • jigglypuff314
exactly did you start with a negative in the acceleration or do you need to magic one into the resulting integral? ;)
jigglypuff314
  • jigglypuff314
because a(t) = 2t + sin(t) ^ this isn't a negative so we need to put one in
anonymous
  • anonymous
oh okay
anonymous
  • anonymous
I see now.
jigglypuff314
  • jigglypuff314
good :) then the v(0) = 4 is trying to tell us that the C = 4
anonymous
  • anonymous
okay so I just plug it into C, correct ?
jigglypuff314
  • jigglypuff314
yes :)
anonymous
  • anonymous
so the answer would be t^2 + sinx +4 ?
jigglypuff314
  • jigglypuff314
uh oh sorry if I confused you, this was what I meant |dw:1449620944975:dw|
anonymous
  • anonymous
okay I see, but the only problem is that none of my answer match what I got
anonymous
  • anonymous
v(t) = t2 + cos(t) + 3 v(t) = 2 + cos(t) + 1 v(t) = t2 − cos(t) + 5 v(t) = t2 + sin(t) + 4
anonymous
  • anonymous
those are my answers
jigglypuff314
  • jigglypuff314
oh oh oh my bad we got that v(t) = t^2 - cos(t) + C right? then we should \(solve\) for C where v(0) = 4 so (0)^2 - cos(0) + C = 4
anonymous
  • anonymous
3=c
anonymous
  • anonymous
wait c=5
jigglypuff314
  • jigglypuff314
that's better ^_^
anonymous
  • anonymous
i forgot to see the negative
anonymous
  • anonymous
Thank you so much.
jigglypuff314
  • jigglypuff314
I'm glad I could help ^_^

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